Solve 51.120(1-1/6)

$$51.120 ( 1 - \frac { 1 } { 6 } )$$

Evaluate

$$42.6$$

Solution Steps

Convert 1 to fraction \frac{6}{6}.

$$51.12\left(\frac{6}{6}-\frac{1}{6}\right)$$

Since \frac{6}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$51.12\times \frac{6-1}{6}$$

Subtract 1 from 6 to get 5.

$$51.12\times \frac{5}{6}$$

Convert decimal number 51.12 to fraction \frac{5112}{100}. Reduce the fraction \frac{5112}{100} to lowest terms by extracting and canceling out 4.

$$\frac{1278}{25}\times \frac{5}{6}$$

Multiply \frac{1278}{25} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1278\times 5}{25\times 6}$$

Do the multiplications in the fraction \frac{1278\times 5}{25\times 6}.

$$\frac{6390}{150}$$

Reduce the fraction \frac{6390}{150} to lowest terms by extracting and canceling out 30.

$$\frac{213}{5}$$

Factor

$$\frac{3 \cdot 71}{5} = 42\frac{3}{5} = 42.6$$