Solve (6.4-4.6)div(7/8div3.5)

$$( 6.4 - 4.6 ) \div ( \frac { 7 } { 8 } \div 3.5 )$$

Evaluate

$$7.2$$

Solution Steps

Subtract 4.6 from 6.4 to get 1.8.

$$\frac{1.8}{\frac{\frac{7}{8}}{3.5}}$$

Express \frac{\frac{7}{8}}{3.5} as a single fraction.

$$\frac{1.8}{\frac{7}{8\times 3.5}}$$

Multiply 8 and 3.5 to get 28.

$$\frac{1.8}{\frac{7}{28}}$$

Reduce the fraction \frac{7}{28} to lowest terms by extracting and canceling out 7.

$$\frac{1.8}{\frac{1}{4}}$$

Divide 1.8 by \frac{1}{4} by multiplying 1.8 by the reciprocal of \frac{1}{4}.

$$1.8\times 4$$

Multiply 1.8 and 4 to get 7.2.

$$7.2$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{5} = 7\frac{1}{5} = 7.2$$