Question

Simplify(81/16) -3/4 {(25/9) 3/2 -:- (5/2) -3 }

Answer 1

(81÷16)-(3÷4){(25÷9)×(3÷2)}÷(5÷2)-3}
=(81÷16)-{(3÷4)×(25÷6)}÷(-1÷6)
={(81÷16)-50}÷(-1÷6)
=[{81-800}÷16]÷(-1÷6)
=(-719÷16)×(-6÷1)
=4314÷16
=270

Answer 2

Answer:

The simplified value of the given expression $\left( \frac { 81 } { 16 } \right) - \frac { 3 } { 4 } \left\{ \left( \frac { 25 } { 9 } \right) \frac { 3 } { 2 } \div \left( \frac { 5 } { 2 } \right) - 3 \right\}$ is found to be 181/16

To find:

Find out the simplified value of the expression $\left( \frac { 81 } { 16 } \right) - \frac { 3 } { 4 } \left\{ \left( \frac { 25 } { 9 } \right) \frac { 3 } { 2 } \div \left( \frac { 5 } { 2 } \right) - 3 \right\}$

Solution:

Given that

$\begin{array} { l } { \left( \frac { 81 } { 16 } \right) - \frac { 3 } { 4 } \left\{ \left( \frac { 25 } { 9 } \right) \frac { 3 } { 2 } \div \left( \frac { 5 } { 2 } \right) - 3 \right\} } \\\\ { = \frac { 81 } { 16 } - \frac { 3 } { 4 } \left\{ \left( \frac { 25 } { 6 } \div \frac { 5 - 6 } { 2 } \right) \right\} } \\\\ { = \frac { 81 } { 16 } - \frac { 3 } { 4 } \left\{ \left( \frac { 25 } { 6 } \div \frac { - 1 } { 2 } \right) \right\} } \end{array}$

$\begin{array} { l } { = \frac { 81 } { 16 } - \frac { 3 } { 4 } \left\{ \left( \frac { \left( \frac { 25 } { 6 } \right) } { \left( \frac { - 1 } { 2 } \right) } \right) \right\} } \\\\ { = \frac { 81 } { 16 } - \frac { 3 } { 4 } \left( \frac { 25 } { 6 } \times \frac { - 2 } { 1 } \right) } \end{array}$

$\begin{aligned} & = \frac { 81 } { 16 } - \frac { 3 } { 4 } \left( \frac { 25 } { 6 } \times \frac { - 2 } { 1 } \right) \\\\ & = \frac { 81 } { 16 } - \frac { 3 } { 4 } \times \left( \frac { - 25 } { 3 } \right) \\\\ & = \frac { 81 } { 16 } + \frac { 25 } { 4 } \\\\ & = \frac { 181 } { 16 } \end{aligned}$

$\left( \frac { 81 } { 16 } \right) - \frac { 3 } { 4 } \left\{ \left( \frac { 25 } { 9 } \right) \frac { 3 } { 2 } \div \left( \frac { 5 } { 2 } \right) - 3 \right\} = \frac { 181 } { 16 }$

Thus, the simplified value of the given expression $\left( \frac { 81 } { 16 } \right) - \frac { 3 } { 4 } \left\{ \left( \frac { 25 } { 9 } \right) \frac { 3 } { 2 } \div \left( \frac { 5 } { 2 } \right) - 3 \right\}$ is 181/16