Solve 1/7div4/2div3/8

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

Evaluate

$$\frac{4}{21}\approx 0.19047619$$

Solution Steps

Divide \frac{\frac{1}{7}}{\frac{4}{2}} by \frac{3}{8} by multiplying \frac{\frac{1}{7}}{\frac{4}{2}} by the reciprocal of \frac{3}{8}.

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

Multiply \frac{1}{7} and 8 to get \frac{8}{7}.

$$\frac{\frac{8}{7}}{\frac{4}{2}\times 3}$$

Divide 4 by 2 to get 2.

$$\frac{\frac{8}{7}}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$\frac{\frac{8}{7}}{6}$$

Express \frac{\frac{8}{7}}{6} as a single fraction.

$$\frac{8}{7\times 6}$$

Multiply 7 and 6 to get 42.

$$\frac{8}{42}$$

Reduce the fraction \frac{8}{42} to lowest terms by extracting and canceling out 2.

$$\frac{4}{21}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 7} = 0.19047619047619047$$