Solve 1000*(0.625-3/8)+18/5*25/9*4/25

$$1000 \times ( 0.625 - \frac { 3 } { 8 } ) + \frac { 18 } { 5 } \times \frac { 25 } { 9 } \times \frac { 4 } { 25 }$$

Evaluate

$$251.6$$

Solution Steps

Convert decimal number 0.625 to fraction \frac{625}{1000}. Reduce the fraction \frac{625}{1000} to lowest terms by extracting and canceling out 125.

$$1000\left(\frac{5}{8}-\frac{3}{8}\right)+\frac{18}{5}\times \frac{25}{9}\times \frac{4}{25}$$

Since \frac{5}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.

$$1000\times \frac{5-3}{8}+\frac{18}{5}\times \frac{25}{9}\times \frac{4}{25}$$

Subtract 3 from 5 to get 2.

$$1000\times \frac{2}{8}+\frac{18}{5}\times \frac{25}{9}\times \frac{4}{25}$$

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$1000\times \frac{1}{4}+\frac{18}{5}\times \frac{25}{9}\times \frac{4}{25}$$

Multiply 1000 and \frac{1}{4} to get \frac{1000}{4}.

$$\frac{1000}{4}+\frac{18}{5}\times \frac{25}{9}\times \frac{4}{25}$$

Divide 1000 by 4 to get 250.

$$250+\frac{18}{5}\times \frac{25}{9}\times \frac{4}{25}$$

Multiply \frac{18}{5} times \frac{25}{9} by multiplying numerator times numerator and denominator times denominator.

$$250+\frac{18\times 25}{5\times 9}\times \frac{4}{25}$$

Do the multiplications in the fraction \frac{18\times 25}{5\times 9}.

$$250+\frac{450}{45}\times \frac{4}{25}$$

Divide 450 by 45 to get 10.

$$250+10\times \frac{4}{25}$$

Express 10\times \frac{4}{25} as a single fraction.

$$250+\frac{10\times 4}{25}$$

Multiply 10 and 4 to get 40.

$$250+\frac{40}{25}$$

Reduce the fraction \frac{40}{25} to lowest terms by extracting and canceling out 5.

$$250+\frac{8}{5}$$

Convert 250 to fraction \frac{1250}{5}.

$$\frac{1250}{5}+\frac{8}{5}$$

Since \frac{1250}{5} and \frac{8}{5} have the same denominator, add them by adding their numerators.

$$\frac{1250+8}{5}$$

Add 1250 and 8 to get 1258.

$$\frac{1258}{5}$$

Factor

$$\frac{2 \cdot 17 \cdot 37}{5} = 251\frac{3}{5} = 251.6$$