Solve 0.625+5*5/8-62.5%=

$$0.625 + 5 \times \frac { 5 } { 8 } - 62.5 \% =$$

Evaluate

$$3.125$$

Solution Steps

Express 5\times \frac{5}{8} as a single fraction.

$$0.625+\frac{5\times 5}{8}-\frac{62.5}{100}$$

Multiply 5 and 5 to get 25.

$$0.625+\frac{25}{8}-\frac{62.5}{100}$$

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.

$$\frac{5}{8}+\frac{25}{8}-\frac{62.5}{100}$$

Since \frac{5}{8} and \frac{25}{8} have the same denominator, add them by adding their numerators.

$$\frac{5+25}{8}-\frac{62.5}{100}$$

Add 5 and 25 to get 30.

$$\frac{30}{8}-\frac{62.5}{100}$$

Reduce the fraction \frac{30}{8} to lowest terms by extracting and canceling out 2.

$$\frac{15}{4}-\frac{62.5}{100}$$

Expand \frac{62.5}{100} by multiplying both numerator and the denominator by 10.

$$\frac{15}{4}-\frac{625}{1000}$$

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

$$\frac{15}{4}-\frac{5}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{15}{4} and \frac{5}{8} to fractions with denominator 8.

$$\frac{30}{8}-\frac{5}{8}$$

Since \frac{30}{8} and \frac{5}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30-5}{8}$$

Subtract 5 from 30 to get 25.

$$\frac{25}{8}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {3}} = 3\frac{1}{8} = 3.125$$