Maths-
General
Easy
Question
Divide the sum of
and
by the product
and ![fraction numerator 1 over denominator negative 2 end fraction](data:image/png;base64,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)
Hint:
Perform the operations given in the question and get the final solution.
The correct answer is: 2/5
To perform: ![fraction numerator 13 over 5 plus fraction numerator negative 12 over denominator 7 end fraction over denominator fraction numerator negative 31 over denominator 7 end fraction cross times fraction numerator 1 over denominator negative 2 end fraction end fraction](data:image/png;base64,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)
Sum of
and ![fraction numerator negative 12 over denominator 7 end fraction equals 13 over 5 plus fraction numerator negative 12 over denominator 7 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJAAAAAjCAYAAAB7GINjAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAjtJREFUeNrtnDFLA0EQhZcQRMRGLCyFIBJEJCAWIiJpgohFCKQQC7ERS7H3P9intBBERETETkQs7MRKBLG2sUghhwjnDDugCOdlY5Lb2bwHX5Hkitl5s3eTy02M6bwmiT3iPuHzBeKYaBIfcty6yVZpMZeJC+KdiIgnYp8YNbqkwpsDYouIEz6/JtaIYXk9RdzKe1kpLeYrokYM/HivRFwqKyBV3sQOx44TDx4kOHY8vml0SoU3rmZEyhJbIB77oIAy88YlyHk5VWpI7BixKX3QSh8UUGbetBrkIHEnDZzPiY1/sWP0qifexC3w3yBHiFOioiixHHNVEruUYZzBe5MWZEECnFB6ah+WIgrxDOSFN38FWSQaxBCaS3jjGiQ3oUdEXnlzOSONdEgF5JU3SUGeS5VrSizfYKtLYnPG3pl+ITYCKyAvvElr6Npt/LKMeVGSGwl8Z3pVaeFo8waCIB8adghCAfl8Ldd2zUYBQSgg113dazSusxtnzX7xBpcwXMIgFBCEAoJQQBAEdaqpDWUt8KbH4l+wG7i0wJt2xM+W3Bj7XC0KCN4468zY4Ts0t/DGWdvGjtDi2xG8cRZPMvLD5nnFBcRz4Tx1yvPwu+Z71Fe7VHjDj3+WA0g2J3lWditPoBYDWJP33tRl14amiiRf+7cur73JyU4tmTAVKY5dhTfVAHZpkqaJZ8Xxq/Dm0Ng/HdCuE2P/UCAnLEvx1BSvSYU3r8bOU2sX9wo8MPhJvBk7aDenfE1d8+YLHTZO2LrAlboAAAD7dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtcm93Pjxtbz4mI3gyMjEyOzwvbW8+PG1uPjEyPC9tbj48L21yb3c+PG1uPjc8L21uPjwvbWZyYWM+PG1vPj08L21vPjxtZnJhYz48bW4+MTM8L21uPjxtbj41PC9tbj48L21mcmFjPjxtbz4rPC9tbz48bWZyYWM+PG1yb3c+PG1vPiYjeDIyMTI7PC9tbz48bW4+MTI8L21uPjwvbXJvdz48bW4+NzwvbW4+PC9tZnJhYz48L21hdGg+sXu0QAAAAABJRU5ErkJggg==)
![not stretchy rightwards double arrow fraction numerator 13 cross times 7 plus 5 cross times negative 12 over denominator 5 cross times 7 end fraction](data:image/png;base64,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)
![not stretchy rightwards double arrow fraction numerator 91 plus negative 60 over denominator 35 end fraction](data:image/png;base64,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)
…(i)
Product of
and ![fraction numerator 1 over denominator negative 2 end fraction equals fraction numerator negative 1 over denominator 2 end fraction equals fraction numerator negative 31 over denominator 7 end fraction cross times fraction numerator negative 1 over denominator 2 end fraction](data:image/png;base64,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)
![not stretchy rightwards double arrow fraction numerator 31 cross times 1 over denominator 7 cross times 2 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEsAAAAjCAYAAADc6ffdAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAdpJREFUeNrtmjFIw0AUhg8pUqQI4uAoFBFxEFcRkS4O4lAEB3EQF3F0cCuOgqO7OIkI4iBSiuAgIg5u4lS6iKOrgwSX+h95QqiNuUuuZ56+H74lCVzeT+7du3tRyo8qoAHeQQBa4AAMxzw/DnbBo4d38zmWkW7AMuiPXJsGVzHPH4NN0Pbwbj7HyqS3hPs+A8i1WWXQdBBAjbC9x8KsEbBBeWvRUQDdTLExKndmtTvYdhxA1Bxbo3L7ZQ2BKngA844D0AZdpzAq9zmrRIaJWYYKZBqaaYqSvCT4Dt2CFVAAfVTRP4N1KR2+aw7UadoFVNEvWaycvQzE51gikQPtgEGxwXzVeQGzYkV8wuvGHq1sogQdkWEnDkznQOYg9+XLkpzldDUsiQ0i0X8pUVxK59hzFTZIPlTY9lr7Cybq04nDHpx6rEby7SS4p2tspZsZd6DoYaxR8MTZrEsVNl9/Kl1cnF19KeBq1JYK2+gmtV7NgVEzNBXZSU8J3bwoWBTHWc7bizQey+JaJ+BKit1Emk6ObsVdgAWuq18j5dbL1qwyGTXG0Si9EW8mJHVX03CCSpIBrkm9SlMwrVGmCV6XJGcWOTGXOlXhTyJZjDK5V6cvi7VeKeH+5tbKWJ8T69BuNCXqtAAAANF0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8gc3RyZXRjaHk9ImZhbHNlIj4mI3gyMUQyOzwvbW8+PG1mcmFjPjxtcm93Pjxtbj4zMTwvbW4+PG1vPiYjeEQ3OzwvbW8+PG1uPjE8L21uPjwvbXJvdz48bXJvdz48bW4+NzwvbW4+PG1vPiYjeEQ3OzwvbW8+PG1uPjI8L21uPjwvbXJvdz48L21mcmFjPjwvbWF0aD7cEvTJAAAAAElFTkSuQmCC)
…(ii)
On dividing, (i) by (ii) we have
![therefore](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAKCAYAAABSfLWiAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAACBJREFUeNpjYCAM/kMxRYAqhowC/AEZAJVbThdDBgYAAO75C+VyngYIAAAAUHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4mI3gyMjM0OzwvbW8+PC9tYXRoPhpvPpoAAAAASUVORK5CYII=)
= ![31 over 35 divided by 31 over 14](data:image/png;base64,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)
![not stretchy rightwards double arrow 31 over 35 cross times 14 over 31](data:image/png;base64,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)
![not stretchy rightwards double arrow 14 over 35 equals 2 over 5](data:image/png;base64,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)
Hence ![fraction numerator 13 over 5 plus fraction numerator negative 12 over denominator 7 end fraction over denominator fraction numerator negative 31 over denominator 7 end fraction cross times fraction numerator 1 over denominator negative 2 end fraction end fraction equals 2 over 5](data:image/png;base64,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)
Product of
On dividing, (i) by (ii) we have
Hence
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Convert into decimal and identify whether it is a non-terminating and repeating decimal or a terminating decimal:![6 over 24](data:image/png;base64,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)
Convert into decimal and identify whether it is a non-terminating and repeating decimal or a terminating decimal:![6 over 24](data:image/png;base64,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)
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Convert into decimal and identify whether it is a non-terminating and repeating decimal or a terminating decimal:![24 over 11](data:image/png;base64,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)
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By what rational number
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A sim earns Rs. 40000 per month. He spends
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