Maths-
General
Easy
Question
𝑉𝑒𝑟𝑖𝑓𝑦 ![open parentheses fraction numerator negative 7 over denominator 11 end fraction plus fraction numerator 2 over denominator negative 5 end fraction close parentheses plus fraction numerator negative 13 over denominator 22 end fraction equals fraction numerator negative 7 over denominator 11 end fraction plus open parentheses fraction numerator 2 over denominator negative 5 end fraction plus fraction numerator negative 13 over denominator 22 end fraction close parentheses](data:image/png;base64,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)
Hint:
Solve the LHS part and RHS part separately and then compare.
The correct answer is: verified.
To verify ![open parentheses fraction numerator negative 7 over denominator 11 end fraction plus fraction numerator 2 over denominator negative 5 end fraction close parentheses plus fraction numerator negative 13 over denominator 22 end fraction equals fraction numerator negative 7 over denominator 11 end fraction plus open parentheses fraction numerator 2 over denominator negative 5 end fraction plus fraction numerator negative 13 over denominator 22 end fraction close parentheses](data:image/png;base64,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)
Express the rational numbers with positive denominator by multiplying with -1.
Here, ![fraction numerator 2 over denominator negative 5 end fraction equals fraction numerator 2 cross times negative 1 over denominator negative 5 cross times negative 1 end fraction equals fraction numerator negative 2 over denominator 5 end fraction](data:image/png;base64,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)
Consider the LHS part, we have
…(i)
Determine the LCM of the denominators of rational numbers inside the brackets.
LCM of 11 and 5 = 55
On multiplying
with 5, we get ![fraction numerator negative 7 cross times 5 over denominator 11 cross times 5 end fraction equals fraction numerator negative 35 over denominator 55 end fraction](data:image/png;base64,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)
On multiplying
with 11, we get ![fraction numerator negative 2 cross times 11 over denominator 5 cross times 11 end fraction equals fraction numerator negative 22 over denominator 55 end fraction](data:image/png;base64,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)
On adding, we get ![fraction numerator negative 35 over denominator 55 end fraction plus fraction numerator negative 22 over denominator 55 end fraction equals fraction numerator negative 57 over denominator 55 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJ0AAAAjCAYAAACO5gjTAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAkxJREFUeNrtWzFLA1EMLqWISBdxcCwUhyIiBXEQEXEpIg6l0EEcxM1R3P0P7v4AQURERNykiIObOIkgzi4OHaQUoeZBhlJ6vXftu3vJ3ffBN7QEmu+SS17umlzOHbaI98RfYof4QTwjzg3Y9UZQA9aJV8Q2sUt8Je5PYCcVtnHq+YzpI7FBnOr7rkp8GOKkZrSIe8Qif14kPvN349hJTrpJ0CSe+3K+nbKkG4YS8c2hnfakmyc+Ead9OF4mvmcg6XJ8pHBppznpbrnLJQqT6Yd8rtvJQNKtcet0Zac56Y6Ipz4Pn8cBNl1uu2bwOOk792iEaSEvPDi4sJOUdFHjVGKNhTiml7DJZJZYZwc2A2yMYyt8V5gWXBE4pdnovCHWQn7D1k6izihxavFTDK8ocuKFocYOa0KZE2nBkZ0GjIpTkysiDtgxocKPA2Yc2WkfmPJcBasSHFzmYSIMS8RPJRfdDEmXFucWWztNCIpT3VenanGJLXDmm97+RTwYsLvmKS7P3GYhDSUX/s7y/GlrJxVR4nTBTysSxwZf6A7TvKHYDej9pvr9EX+4GqwqCoaL10MaECVO3zwsAQAQd/UBACQdgKTTqsvrX4cAVLpM3lVJM44KoElnVuKJSof2CqC9Akg6AEDSAQCQ7OF2HDvohE5nrayXgpsLOoXoRDCgE05CJ5IOwYDOWJy0WU3TvmoInQJ12q6mSVk1hM6U6bRdIdS4agidgnWmcdUQOgXrtF0h1LRqCJ2CdNqupmlfNYROQTptV9O0rxpCZ0w6/wHBcNT6gFNgwAAAARx0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1yb3c+PG1vPiYjeDIyMTI7PC9tbz48bW4+MzU8L21uPjwvbXJvdz48bW4+NTU8L21uPjwvbWZyYWM+PG1vPis8L21vPjxtZnJhYz48bXJvdz48bW8+JiN4MjIxMjs8L21vPjxtbj4yMjwvbW4+PC9tcm93Pjxtbj41NTwvbW4+PC9tZnJhYz48bW8+PTwvbW8+PG1mcmFjPjxtcm93Pjxtbz4mI3gyMjEyOzwvbW8+PG1uPjU3PC9tbj48L21yb3c+PG1uPjU1PC9tbj48L21mcmFjPjwvbWF0aD5LJKFMAAAAAElFTkSuQmCC)
On substituting this in (i), we get ![fraction numerator negative 57 over denominator 55 end fraction plus fraction numerator negative 13 over denominator 22 end fraction](data:image/png;base64,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)
Determine the LCM of the denominators of rational numbers.
LCM of 55 and 22 = 110
On multiplying
with 2, we get ![fraction numerator negative 57 cross times 2 over denominator 55 cross times 2 end fraction equals fraction numerator negative 114 over denominator 110 end fraction](data:image/png;base64,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)
On multiplying
with 5, we get ![fraction numerator negative 13 cross times 5 over denominator 22 cross times 5 end fraction equals fraction numerator negative 65 over denominator 110 end fraction](data:image/png;base64,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)
On adding, we get ![fraction numerator negative 114 over denominator 110 end fraction plus fraction numerator negative 65 over denominator 110 end fraction equals fraction numerator negative 179 over denominator 110 end fraction](data:image/png;base64,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)
Thus we have LHS to be ![open parentheses fraction numerator negative 7 over denominator 11 end fraction plus fraction numerator negative 2 over denominator 5 end fraction close parentheses plus fraction numerator negative 13 over denominator 22 end fraction equals fraction numerator negative 179 over denominator 110 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANsAAAAmCAYAAABNj+6HAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAY00gKyAAABQJJREFUeNrtXVFkHFEUfSJqxSpREVVVIqKqolQ+KiKWqFVREfJRVVUhol9R/amoquhPvyIqRFVVRamoqor+VET1I1RVVEWIfvVjhahVK1aY3tvcZbd2Zt6892by3tt7OB+dzk7eve/ed++7M3NHiOa4DXwiGDpYID0yGKEYAn4Dthu8ZhBD2zEIXAGWgVXSz/WY36D+NoHDjsx7H/A+ydYMBeAqsALcB24D54EnHLPvODmT2CrO7SfSR4VspEd2IB3An8ALGQk+AXzqwAStA68B8/Tvc8DPdCwK50mfeQdkfAmcilj81oDjwGN1x9BOPjjmbHFyytrqZeB34ACwjRbXSeAWsFvmgnPAxYyE7qZVIedoBnCGIpdMOjnnkFxJjbDs6PwFmrb6JSSKoVM+jrtgF/A38FRGwr7LMIKmhX2Jc06SQXZ5aIQ9tJL77mzNbPUg5FyMcl/jLjhLITYLTFPe7DIuUSopg2cOyStjhLjS36J92xXPnS3MVneAF0MynkrcRX9QcSSL9GvDcAEma+RIhsEEBZYtD4zw/2LBjMNzGGja6gTtx4cpmiFHKapVoy6KFZrdhANVrTBisaFggaJVx98JfEsb5CQoAc9aLpusEaIOxsgQhx2cQ1k542wVZV+j7QTyNbA3LrJhSrCcgYJwNVh1eDXsIUfrVfjtMunZp71MnhzOx8imaqu5OJ28oNw0TbRRKuVqUQSjEpZ+OxR/P0l69snZhJArErkmp46tYiSMrD6/z2CjO0Zh2UV0U4qgs88sOhLVkzhbPxVJfHM2HVt9JGIq+rhfS7s0/cqRNCpsMdLdb+UT7ottM8J1Sq3aaeUvUIHgpofOJmOrH0XjTX50MKxaXo37wxVSYJoo0cba1YnRfdSsTUiUhC2TsR5DtOjUigFYGBj1ZC5VbHWEdID328rkoP1p5OkMNVRZBYyAx2zVmHnxY2fjMbOzMdhw2dlc3/sGokUWGXY2djaGJUYQZMg0VkUbxh+lZ1dkM6GDNKNi4II+OLJxZOM0kg2XnY3BzsZjZmdjsOGyszHYcFnPjJbHgcZv41qDJT3P1g28CRzl41qy7fhU2vbZCJN2eVwcNsLaIC7RMSXoPIgs2xpMtYWYL5GnXRztg8iy7fhU2/bZBpN2iU/41z/NP0rHlPBL6D+R78N+JM2xYTNT216xkW3HJ3uej/tkfK1oocnxedUFCF+dKLKzpTo2fDnXxpdH9w2f55uzYUrdrN9Mgf4vMZ4L/Rc72dmiMUV6tgmy7fiStO3zzdn2RGMX6BrwWEllQDeEfs9IX5ytSsUBjEJ3hLnW4ba9qS7bji9p2z7fnC2qeKhU8OpT9VLPnK2+mIENOLFKhY1fTLSg2xXZtLKTgWw7PtW2fa3ibMqp9SalC+xsjUBD021UVBD2NGmVbcen07bPJ2crhaSROZ0AdVcctslmZzNfHMAU/Z4Fcsi249Nt2+dbgaQYsgivqA4KS9M6H9bw1dnws087Gr8/Dfwjjv47ZrLt+Ey07fPJ2cZF88+aYbFL697jA6H+xVEfnO0NpdK13u1FcrRxjWviRD20QDbZdnwm2vb55GwI7KI1QwsQppSzBrYW/9IGNK7+hMLIPNrkwrtLeANzmzbFe7TCD2hcDzvq2vIxRNlH0Xx518ykXXbSFqv2hdElU3OKJV7Tn/ltReAKiEWnIVYFIwp4A3aR1aAFTMenWQ2MGv4Cv51n/kGPAfIAAAGXdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mZW5jZWQgc2VwYXJhdG9ycz0ifCI+PG1yb3c+PG1mcmFjPjxtcm93Pjxtbz4mI3gyMjEyOzwvbW8+PG1uPjc8L21uPjwvbXJvdz48bW4+MTE8L21uPjwvbWZyYWM+PG1vPis8L21vPjxtZnJhYz48bXJvdz48bW8+JiN4MjIxMjs8L21vPjxtbj4yPC9tbj48L21yb3c+PG1uPjU8L21uPjwvbWZyYWM+PC9tcm93PjwvbWZlbmNlZD48bW8+KzwvbW8+PG1mcmFjPjxtcm93Pjxtbz4mI3gyMjEyOzwvbW8+PG1uPjEzPC9tbj48L21yb3c+PG1uPjIyPC9tbj48L21mcmFjPjxtbz49PC9tbz48bWZyYWM+PG1yb3c+PG1vPiYjeDIyMTI7PC9tbz48bW4+MTc5PC9tbj48L21yb3c+PG1uPjExMDwvbW4+PC9tZnJhYz48L21hdGg+Lr5FvgAAAABJRU5ErkJggg==)
Consider the RHS part, we have
…(ii)
Determine the LCM of the denominators of rational numbers inside the brackets.
LCM of 5 and 22 = 110
On multiplying
with 22, we get ![fraction numerator negative 2 cross times 22 over denominator 5 cross times 22 end fraction equals fraction numerator negative 44 over denominator 110 end fraction](data:image/png;base64,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)
On multiplying
with 5, we get ![fraction numerator negative 13 cross times 5 over denominator 22 cross times 5 end fraction equals fraction numerator negative 65 over denominator 110 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAH4AAAAjCAYAAABSM76hAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAyNJREFUeNrtW0FrFDEUHkSWIkUQEREPQpFSRESQIqWIFKSUUkQWisgeRIQePBWv4n8oHoRFxIO3IiJSiiBSFvEgiIgnEcSTh148FJFlKazfY15xmM3MJE3STWbfB99hM6+dvHyTl5fJmyRxj0nwIfil4PocuAn+Bbvgd3ANPO6hL/0SxoRpcB3c4TF7DV4Nzc/n4ErJTbfAJtjItF0E33gSPnassNCT/Pso2ALfh+qnaWd2RPgBnAM/xeanSWcmwG8l1x8wTa/FLnwbvFVH4U+Cd3idX6ywVQlcJnodhKfJcKpOwucTkFXN/5kVukr0vfv0eBmhhPI+OB6R8F1e219yMtzj0N/y6Wdfg7ZP4THwBvgxl6VWif9WQ/QsDoOXeLdBs2hqiJPBZEzp92eOhuTDIXCWI+S9UP00CT/jLL4v4bOYBzuRzHiawacV7bQL+hWqn/19hDXXod7mXiFgk2e5Cr1Q/TQR/gKHL9fJnQrnwR+RCE/h/KaifUojQg7NzyLhKfwsZ9YsepP3E7ztYTtHSdEM34e4wIPRjET4Bo/XXR4vwmXwK3gtND+rEpYr4AaHISK9yVvy1JdljiS74O8kfe05HdmW7gT4BPzDfnR4DOvmp0AgEAgEw0hSbV5kCQTxPtl15qiMqUBCvUAgEAgEAkFaCPAiSc+K6WiQyqhbFna+E7BQUVWGbmJHlbePk/TEjtjmNqegQwIqANwr7aFK0A/JYFGgrp0r4WNDVRm6id078Hrm9xK3eceZJD0qdGU3CsKb9r3Ijk7mHina1zxNsgF0HdiNYhm1rfC0nM4r2uf4mlfMcBh3YTdqZdS2wtP5e0PRTm3bPjs+xgnFrCO7vNB1L6O2FX635G96vjpN5dGvCkLNfuzy4sdaRh2K8F6KLSdYzLOO7FwIn0UsZdS2wm8XhPoxH6GeZhLVgR1xZGcb6g/0iQ8wuVsoePCdJnf0vdt68r/q09bORXKnQixl1LbCN3ly5fHM9XZuQ3Pt1LVzsZ2LuYy678COKpVXeZI1eJw6Pjqq+93XQb1GjbG8WHdcdOwoeX7KSxt9XNmu2tX8A0nCpKnRYUYoAAABD3RFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtZnJhYz48bXJvdz48bW8+JiN4MjIxMjs8L21vPjxtbj4xMzwvbW4+PG1vPiYjeEQ3OzwvbW8+PG1uPjU8L21uPjwvbXJvdz48bXJvdz48bW4+MjI8L21uPjxtbz4mI3hENzs8L21vPjxtbj41PC9tbj48L21yb3c+PC9tZnJhYz48bW8+PTwvbW8+PG1mcmFjPjxtcm93Pjxtbz4mI3gyMjEyOzwvbW8+PG1uPjY1PC9tbj48L21yb3c+PG1uPjExMDwvbW4+PC9tZnJhYz48L21hdGg+KnsyogAAAABJRU5ErkJggg==)
On adding, we get ![fraction numerator negative 44 over denominator 110 end fraction plus fraction numerator negative 65 over denominator 110 end fraction equals fraction numerator negative 109 over denominator 110 end fraction](data:image/png;base64,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)
On substituting this in (ii), we get ![fraction numerator negative 7 over denominator 11 end fraction plus fraction numerator negative 109 over denominator 110 end fraction](data:image/png;base64,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)
Determine the LCM of the denominators of rational numbers.
LCM of 11 and 110 = 110
On multiplying
with 10, we get ![fraction numerator negative 7 cross times 10 over denominator 11 cross times 10 end fraction equals fraction numerator negative 70 over denominator 110 end fraction](data:image/png;base64,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)
On multiplying
with 1, we get ![fraction numerator negative 109 cross times 1 over denominator 110 cross times 1 end fraction equals fraction numerator negative 109 over denominator 110 end fraction](data:image/png;base64,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)
On adding, we get ![fraction numerator negative 70 over denominator 110 end fraction plus fraction numerator negative 109 over denominator 110 end fraction equals fraction numerator negative 179 over denominator 110 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALEAAAAjCAYAAADbh+uNAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAsBJREFUeNrtWyFIBEEUXQ6RCyKYDBcORIwiiFkEOQyHiGAwiiBGu5jEYhKDICIGgyAmg01ETIKIwWAR8xWDQRYR1j/wxWPd2/t7s3c7/89/8IKzczDvzdvZmV1/EOSHqA2bMQg8AN4jD7GNE8aAW8CnlD5UndPAO2AI/AReAEeE+ZElH875sQQ8irVdA+eb/q5jGyecAtcSJiCrzhrwGTgFLAH7gKvAF+CwMD8o+XDOj2G8o8qxQe8n9N0DLgf8EKVMDkXnQ4tVxvx+V5Af1Hw458clcCLWdoF3WxwzeE3KpFF1frf4vVmFHoWHOCkfTvmxjnukON6B/Qntpq0haNKoOl+Bkwn9qrgflBriVvlwxo8qHmT6Eq59p/zuS9CkUXWax+QbHmZKyDquOl9CQ5yWj1z9iIJsJ8pm3OJjM+vkhgWZ3qnOTkMcJpzGb7Dd8Bw4WtBK3C0/qPlwwg9zJ12lXG+0eMyWhW0nbHWWcbWSthK3y0fhfpTwVchESh9zqJlLaK8JPNjZ6DQr1bawEFPyUbgfC/ioSMNi8P+9scFJIOsVm63OHWBFWIgp+SjcjzPgCqGf2e9s4MbePHI3LcS5PGkUndcY+N+tRwVP7fMC/aDko3A/zF5viNDP9DkO/j4rms+xAwwnq92Bh6JzFsNuDoIfONHjTMPbzg9KPqT4oVD4h0gtUGiIFQoNsXP70SwfKBQaYgWnu7nX7MbKEzGmL/NepB+6Eut2QqEhVmiIFQoNsUKhULgKSnk6tR+3cn2ftYvyg1qOnVcZu0vwWbtIPyLLfpzL9X3WLsoP24FzLtf3WbsoP2wHzrlc32ftovywHTjncn2ftYvyo5sDDz2etFBD3Ds/bAfOuVzfZ+2i/MhjM8+1XN9n7aL8sB0453J9n7WL8iPKoR/Xcn2ftYvwg/r/qXmVsbs2Wb5qZ+HHD3N8KsZLXMmtAAABIXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtZnJhYz48bXJvdz48bW8+JiN4MjIxMjs8L21vPjxtbj43MDwvbW4+PC9tcm93Pjxtbj4xMTA8L21uPjwvbWZyYWM+PG1vPis8L21vPjxtZnJhYz48bXJvdz48bW8+JiN4MjIxMjs8L21vPjxtbj4xMDk8L21uPjwvbXJvdz48bW4+MTEwPC9tbj48L21mcmFjPjxtbz49PC9tbz48bWZyYWM+PG1yb3c+PG1vPiYjeDIyMTI7PC9tbz48bW4+MTc5PC9tbj48L21yb3c+PG1uPjExMDwvbW4+PC9tZnJhYz48L21hdGg+P4CnhQAAAABJRU5ErkJggg==)
Thus we have RHS to be ![fraction numerator negative 7 over denominator 11 end fraction plus open parentheses fraction numerator negative 2 over denominator 5 end fraction plus fraction numerator negative 13 over denominator 22 end fraction close parentheses equals fraction numerator negative 179 over denominator 110 end fraction](data:image/png;base64,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)
So we get LHS = RHS = ![fraction numerator negative 179 over denominator 110 end fraction](data:image/png;base64,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)
Hence verified.
Related Questions to study
Maths-
Verify ![fraction numerator negative 12 over denominator 5 end fraction plus 2 over 7 equals 2 over 7 plus fraction numerator negative 12 over denominator 5 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKkAAAAjCAYAAADv/iqRAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAeZJREFUeNrtnC9LBFEUxS/LBhGLySiIiIhhQQxisixGEQxisojZ7icxGgQREZHtIgabmETwA1gMJhFhPI93weK4O+46c9+758AJ+yf89pw3szPDzBUZvebgQ/i+5PNV+Ax+gz/0ezvSjMjitP9jeA8uSj6/hrfhCX29AN/qe3WLLL77L4X8SdPwg5GQyeKo/6Li998NBUwWJ/1XgVzRXb4FkcVR/4NCjsF3ekDdtMiSWP/FAB4WchK+gLsGQiWLw/77Qc4o4KyBRUEWp/3/BjkPH8HjBsIki+P+yyCn4FO4bSBIsvjuvxTySrckCyKL0/77HWD/9UC87pMDzyxe+qcoqurlDuZCsQzmQlktY9iL3lykXKTMJbcfZM3/sfcaNUsTmVvKpYn+ucfg3z3FMpgLy6CYC8tgLhRF1X3ykPIVDa8sWfaf29/KlsT7HcmSUf85LdJwv+ONxGdvyMJFalKXcIcsXKRWtS9xRAxZMl2kYa5PmO/Tgw/ke4xKKgpTNMKjtW2y5N1/CHVJ9wCPktbjEGFG0RpZfPXf1bBTOZvvkcVn/ynMMWrpVt8hi7/+F+HnBILcMLTFW2LJrv9ziUOnWup1BdxMIMwTeJcs+fcfjqOe4E/4VeLD/8uJBPwicSYRWYz2/wVKI37sg1AzRgAAASd0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1yb3c+PG1vPiYjeDIyMTI7PC9tbz48bW4+MTI8L21uPjwvbXJvdz48bW4+NTwvbW4+PC9tZnJhYz48bW8+KzwvbW8+PG1mcmFjPjxtbj4yPC9tbj48bW4+NzwvbW4+PC9tZnJhYz48bW8+PTwvbW8+PG1mcmFjPjxtbj4yPC9tbj48bW4+NzwvbW4+PC9tZnJhYz48bW8+KzwvbW8+PG1mcmFjPjxtcm93Pjxtbz4mI3gyMjEyOzwvbW8+PG1uPjEyPC9tbj48L21yb3c+PG1uPjU8L21uPjwvbWZyYWM+PC9tYXRoPq0KxYEAAAAASUVORK5CYII=)
Verify ![fraction numerator negative 12 over denominator 5 end fraction plus 2 over 7 equals 2 over 7 plus fraction numerator negative 12 over denominator 5 end fraction](data:image/png;base64,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)
Maths-General
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Find the perimeter and area of a semicircle whose radius is 14 cm.
Find the perimeter and area of a semicircle whose radius is 14 cm.
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Find the area of a circle whose radius is 14 cm.
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Maths-
Find the circumference of the given circle.
![](data:image/png;base64,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)
Find the circumference of the given circle.
![](data:image/png;base64,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)
Maths-General
Maths-
Evaluate ![3 over 5 plus 7 over 3 plus fraction numerator negative 11 over denominator 5 end fraction plus fraction numerator negative 2 over denominator 3 end fraction](data:image/png;base64,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)
Evaluate ![3 over 5 plus 7 over 3 plus fraction numerator negative 11 over denominator 5 end fraction plus fraction numerator negative 2 over denominator 3 end fraction](data:image/png;base64,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)
Maths-General
Maths-
The sum of two rational numbers is -5. If one of them is,
find the other.
The sum of two rational numbers is -5. If one of them is,
find the other.
Maths-General
Maths-
Arrange the following rational numbers in descending order
and
.
Arrange the following rational numbers in descending order
and
.
Maths-General
Maths-
8 Arrange the following rational numbers in ascending order
and
.
8 Arrange the following rational numbers in ascending order
and
.
Maths-General
Maths-
Which of the two rational numbers is greater in the given pair
and ![fraction numerator 7 over denominator negative 12 end fraction](data:image/png;base64,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)
Which of the two rational numbers is greater in the given pair
and ![fraction numerator 7 over denominator negative 12 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Find the circumference of the circle whose diameter is 21 cm.
Find the circumference of the circle whose diameter is 21 cm.
Maths-General
Maths-
Express
as a rational number with denominator 5
Express
as a rational number with denominator 5
Maths-General
Maths-
Arrange the numbers
and
in ascending order
Arrange the numbers
and
in ascending order
Maths-General