Solve 2*(17.5-7.5)*(2-0.25)/(17.5-7.5)+(2-0.25)

$$\frac { 2 \times ( 17.5 - 7.5 ) \times ( 2 - 0.25 ) } { ( 17.5 - 7.5 ) + ( 2 - 0.25 ) }$$

Evaluate

$$\frac{140}{47}\approx 2.978723404$$

Solution Steps

Subtract 7.5 from 17.5 to get 10.

$$\frac{2\times 10\left(2-0.25\right)}{17.5-7.5+2-0.25}$$

Multiply 2 and 10 to get 20.

$$\frac{20\left(2-0.25\right)}{17.5-7.5+2-0.25}$$

Subtract 0.25 from 2 to get 1.75.

$$\frac{20\times 1.75}{17.5-7.5+2-0.25}$$

Multiply 20 and 1.75 to get 35.

$$\frac{35}{17.5-7.5+2-0.25}$$

Subtract 7.5 from 17.5 to get 10.

$$\frac{35}{10+2-0.25}$$

Add 10 and 2 to get 12.

$$\frac{35}{12-0.25}$$

Subtract 0.25 from 12 to get 11.75.

$$\frac{35}{11.75}$$

Expand \frac{35}{11.75} by multiplying both numerator and the denominator by 100.

$$\frac{3500}{1175}$$

Reduce the fraction \frac{3500}{1175} to lowest terms by extracting and canceling out 25.

$$\frac{140}{47}$$

Factor

$$\frac{5 \cdot 7 \cdot 2 ^ {2}}{47} = 2\frac{46}{47} = 2.978723404255319$$