Maths-
General
Easy

Question

Determine y so that y minus 2 1 third equals open parentheses negative 3 7 over 12 close parentheses

Hint:

Make the denominators common and solve for .

The correct answer is: -1/12


    To find y minus 2 1 third equals open parentheses negative 3 7 over 12 close parentheses
    So here, 2 1 third equals fraction numerator left parenthesis 2 cross times 3 right parenthesis plus 1 over denominator 3 end fraction equals 7 over 3 and negative 3 7 over 12 equals fraction numerator left parenthesis 12 cross times negative 3 right parenthesis plus 7 over denominator 12 end fraction equals fraction numerator negative 29 over denominator 12 end fraction
    y minus 2 1 third equals open parentheses negative 3 7 over 12 close parentheses can be written as y minus 7 over 3 equals fraction numerator negative 29 over denominator 12 end fraction
    On adding 7 over 3 on both the sides, we have y equals fraction numerator negative 29 over denominator 12 end fraction plus 7 over 3
    On taking the LCM of denominators 12 and 3, we get LCM as 12.
    So,7 over 3 equals fraction numerator 7 cross times 4 over denominator 3 cross times 4 end fraction equals 28 over 12
    On adding, we get y equals fraction numerator negative 29 over denominator 12 end fraction plus 28 over 12 equals fraction numerator negative 1 over denominator 12 end fraction
    Hence y equals fraction numerator negative 1 over denominator 12 end fraction

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