Solve =0.257-0.0592/2*1.6020

$$= 0.257 - \frac { 0.0592 } { 2 } \times 1.6020$$

Evaluate

$$0.2095808$$

Solution Steps

Expand \frac{0.0592}{2} by multiplying both numerator and the denominator by 10000.

$$0.257-\frac{592}{20000}\times 1.602$$

Reduce the fraction \frac{592}{20000} to lowest terms by extracting and canceling out 16.

$$0.257-\frac{37}{1250}\times 1.602$$

Convert decimal number 1.602 to fraction \frac{1602}{1000}. Reduce the fraction \frac{1602}{1000} to lowest terms by extracting and canceling out 2.

$$0.257-\frac{37}{1250}\times \frac{801}{500}$$

Multiply \frac{37}{1250} times \frac{801}{500} by multiplying numerator times numerator and denominator times denominator.

$$0.257-\frac{37\times 801}{1250\times 500}$$

Do the multiplications in the fraction \frac{37\times 801}{1250\times 500}.

$$0.257-\frac{29637}{625000}$$

Convert decimal number 0.257 to fraction \frac{257}{1000}.

$$\frac{257}{1000}-\frac{29637}{625000}$$

Least common multiple of 1000 and 625000 is 625000. Convert \frac{257}{1000} and \frac{29637}{625000} to fractions with denominator 625000.

$$\frac{160625}{625000}-\frac{29637}{625000}$$

Since \frac{160625}{625000} and \frac{29637}{625000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{160625-29637}{625000}$$

Subtract 29637 from 160625 to get 130988.

$$\frac{130988}{625000}$$

Reduce the fraction \frac{130988}{625000} to lowest terms by extracting and canceling out 4.

$$\frac{32747}{156250}$$

Factor

$$\frac{11 \cdot 13 \cdot 229}{2 \cdot 5 ^ {7}} = 0.2095808$$