Solve 6/8*(8/8-3/8)

$$\frac { 6 } { 8 } \cdot ( \frac { 8 } { 8 } - \frac { 3 } { 8 } )$$

Evaluate

$$\frac{15}{32}=0.46875$$

Solution Steps

Divide 8 by 8 to get 1.

$$\frac{6}{8}\left(1-\frac{3}{8}\right)$$

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$\frac{3}{4}\left(1-\frac{3}{8}\right)$$

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

$$\frac{3}{4}\left(\frac{8}{8}-\frac{3}{8}\right)$$

Since \frac{8}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{4}\times \frac{8-3}{8}$$

Subtract 3 from 8 to get 5.

$$\frac{3}{4}\times \frac{5}{8}$$

Multiply \frac{3}{4} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{4\times 8}$$

Do the multiplications in the fraction \frac{3\times 5}{4\times 8}.

$$\frac{15}{32}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {5}} = 0.46875$$