Solve 1/7div4/7*1/8=

$$\frac { 1 } { 7 } \div \frac { 4 } { 7 } \cdot \frac { 1 } { 8 } =$$

Evaluate

$$\frac{1}{32}=0.03125$$

Solution Steps

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

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

Multiply \frac{1}{7} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 7 in both numerator and denominator.

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

Multiply \frac{1}{4} times \frac{1}{8} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 1}{4\times 8}.

$$\frac{1}{32}$$

Factor

$$\frac{1}{2 ^ {5}} = 0.03125$$