Solve 7/8-1/2/frac{3{4}-1/2}

$$\frac { \frac { 7 } { 8 } - \frac { 1 } { 2 } } { \frac { 3 } { 4 } - \frac { 1 } { 2 } }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Least common multiple of 8 and 2 is 8. Convert \frac{7}{8} and \frac{1}{2} to fractions with denominator 8.

$$\frac{\frac{7}{8}-\frac{4}{8}}{\frac{3}{4}-\frac{1}{2}}$$

Since \frac{7}{8} and \frac{4}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{7-4}{8}}{\frac{3}{4}-\frac{1}{2}}$$

Subtract 4 from 7 to get 3.

$$\frac{\frac{3}{8}}{\frac{3}{4}-\frac{1}{2}}$$

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{\frac{3}{8}}{\frac{3}{4}-\frac{2}{4}}$$

Since \frac{3}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{3}{8}}{\frac{3-2}{4}}$$

Subtract 2 from 3 to get 1.

$$\frac{\frac{3}{8}}{\frac{1}{4}}$$

Divide \frac{3}{8} by \frac{1}{4} by multiplying \frac{3}{8} by the reciprocal of \frac{1}{4}.

$$\frac{3}{8}\times 4$$

Express \frac{3}{8}\times 4 as a single fraction.

$$\frac{3\times 4}{8}$$

Multiply 3 and 4 to get 12.

$$\frac{12}{8}$$

Reduce the fraction \frac{12}{8} to lowest terms by extracting and canceling out 4.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$