Solve (0.25+5/8)div(1.75-7/8)

$$( 0.25 + \frac { 5 } { 8 } ) \div ( 1.75 - \frac { 7 } { 8 } )$$

Evaluate

$$1$$

Solution Steps

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{1}{4}+\frac{5}{8}}{1.75-\frac{7}{8}}$$

Least common multiple of 4 and 8 is 8. Convert \frac{1}{4} and \frac{5}{8} to fractions with denominator 8.

$$\frac{\frac{2}{8}+\frac{5}{8}}{1.75-\frac{7}{8}}$$

Since \frac{2}{8} and \frac{5}{8} have the same denominator, add them by adding their numerators.

$$\frac{\frac{2+5}{8}}{1.75-\frac{7}{8}}$$

Add 2 and 5 to get 7.

$$\frac{\frac{7}{8}}{1.75-\frac{7}{8}}$$

Convert decimal number 1.75 to fraction \frac{175}{100}. Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{7}{8}}{\frac{7}{4}-\frac{7}{8}}$$

Least common multiple of 4 and 8 is 8. Convert \frac{7}{4} and \frac{7}{8} to fractions with denominator 8.

$$\frac{\frac{7}{8}}{\frac{14}{8}-\frac{7}{8}}$$

Since \frac{14}{8} and \frac{7}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{7}{8}}{\frac{14-7}{8}}$$

Subtract 7 from 14 to get 7.

$$\frac{\frac{7}{8}}{\frac{7}{8}}$$

Divide \frac{7}{8} by \frac{7}{8} to get 1.

$$1$$

Factor

$$1$$