Solve 7/8div1/4-3/5

$$\frac { 7 } { 8 } \div \frac { 1 } { 4 } - \frac { 3 } { 5 }$$

Evaluate

$$\frac{29}{10}=2.9$$

Solution Steps

Divide \frac{7}{8} by \frac{1}{4} by multiplying \frac{7}{8} by the reciprocal of \frac{1}{4}.

$$\frac{7}{8}\times 4-\frac{3}{5}$$

Express \frac{7}{8}\times 4 as a single fraction.

$$\frac{7\times 4}{8}-\frac{3}{5}$$

Multiply 7 and 4 to get 28.

$$\frac{28}{8}-\frac{3}{5}$$

Reduce the fraction \frac{28}{8} to lowest terms by extracting and canceling out 4.

$$\frac{7}{2}-\frac{3}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{7}{2} and \frac{3}{5} to fractions with denominator 10.

$$\frac{35}{10}-\frac{6}{10}$$

Since \frac{35}{10} and \frac{6}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-6}{10}$$

Subtract 6 from 35 to get 29.

$$\frac{29}{10}$$

Factor

$$\frac{29}{2 \cdot 5} = 2\frac{9}{10} = 2.9$$