Solve (1-1/7)*1/5

$$( 1 - \frac { 1 } { 7 } ) \times \frac { 1 } { 5 }$$

Evaluate

$$\frac{6}{35}\approx 0.171428571$$

Solution Steps

Convert 1 to fraction \frac{7}{7}.

$$\left(\frac{7}{7}-\frac{1}{7}\right)\times \frac{1}{5}$$

Since \frac{7}{7} and \frac{1}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-1}{7}\times \frac{1}{5}$$

Subtract 1 from 7 to get 6.

$$\frac{6}{7}\times \frac{1}{5}$$

Multiply \frac{6}{7} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 1}{7\times 5}$$

Do the multiplications in the fraction \frac{6\times 1}{7\times 5}.

$$\frac{6}{35}$$

Factor

$$\frac{2 \cdot 3}{5 \cdot 7} = 0.17142857142857143$$