Solve (1-1/8)*31/5

$$( 1 - \frac { 1 } { 8 } ) \times 3 \frac { 1 } { 5 }$$

Evaluate

$$\frac{14}{5}=2.8$$

Solution Steps

Convert 1 to fraction \frac{8}{8}.

$$\left(\frac{8}{8}-\frac{1}{8}\right)\times \frac{3\times 5+1}{5}$$

Since \frac{8}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-1}{8}\times \frac{3\times 5+1}{5}$$

Subtract 1 from 8 to get 7.

$$\frac{7}{8}\times \frac{3\times 5+1}{5}$$

Multiply 3 and 5 to get 15.

$$\frac{7}{8}\times \frac{15+1}{5}$$

Add 15 and 1 to get 16.

$$\frac{7}{8}\times \frac{16}{5}$$

Multiply \frac{7}{8} times \frac{16}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 16}{8\times 5}$$

Do the multiplications in the fraction \frac{7\times 16}{8\times 5}.

$$\frac{112}{40}$$

Reduce the fraction \frac{112}{40} to lowest terms by extracting and canceling out 8.

$$\frac{14}{5}$$

Factor

$$\frac{2 \cdot 7}{5} = 2\frac{4}{5} = 2.8$$