Question

divide the sum of 3/8 and-5/12 by the reciprocal of -15/8 x16/27

Answer 1

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Answer 2

Answer:

The value of the sum of 3/8 and (-5/12) by the reciprocal of (-15/8 × 16/27) is 5/108..

Solution:

Sum of

$\begin{array} { c } { \frac { 3 } { 8 } \text { and } - \frac { 5 } { 12 } = \frac { 3 } { 8 } + \left( - \frac { 5 } { 12 } \right) = \frac { 3 } { 8 } - \frac { 5 } { 12 } = \frac { 9 - 10 } { 24 } = - \frac { 1 } { 24 } } \\\\ { - \frac { 15 } { 8 } \times \frac { 16 } { 27 } = - \frac { 10 } { 9 } } \end{array}$

And, reciprocal of $-\frac{10}{9} =-\frac{9}{10}$

Hence, on dividing $-\frac{1}{24} and -\frac{9}{10}$

$= - \frac { 1 } { 24 } \div - \frac { 9 } { 10 } = \frac { 1 } { 24 } \times \frac { 10 } { 9 } = \frac { 5 } { 108 }$