Solve 25-[90-5{9-(14-12)}]div59/9S

$$25 - [ 90 - 5 \{ 9 - ( 14 - 12 ) \} ] \div \frac { 59 } { 9 } S$$

Evaluate

$$-\frac{495S}{59}+25$$

Solution Steps

Subtract 12 from 14 to get 2.

$$25-\frac{90-5\left(9-2\right)}{\frac{59}{9}}S$$

Subtract 2 from 9 to get 7.

$$25-\frac{90-5\times 7}{\frac{59}{9}}S$$

Multiply 5 and 7 to get 35.

$$25-\frac{90-35}{\frac{59}{9}}S$$

Subtract 35 from 90 to get 55.

$$25-\frac{55}{\frac{59}{9}}S$$

Divide 55 by \frac{59}{9} by multiplying 55 by the reciprocal of \frac{59}{9}.

$$25-55\times \frac{9}{59}S$$

Express 55\times \frac{9}{59} as a single fraction.

$$25-\frac{55\times 9}{59}S$$

Multiply 55 and 9 to get 495.

$$25-\frac{495}{59}S$$

Expand

$$-\frac{495S}{59}+25$$

Solution Steps

Subtract 12 from 14 to get 2.

$$25-\frac{90-5\left(9-2\right)}{\frac{59}{9}}S$$

Subtract 2 from 9 to get 7.

$$25-\frac{90-5\times 7}{\frac{59}{9}}S$$

Multiply 5 and 7 to get 35.

$$25-\frac{90-35}{\frac{59}{9}}S$$

Subtract 35 from 90 to get 55.

$$25-\frac{55}{\frac{59}{9}}S$$

Divide 55 by \frac{59}{9} by multiplying 55 by the reciprocal of \frac{59}{9}.

$$25-55\times \frac{9}{59}S$$

Express 55\times \frac{9}{59} as a single fraction.

$$25-\frac{55\times 9}{59}S$$

Multiply 55 and 9 to get 495.

$$25-\frac{495}{59}S$$