Solve 4/5*(11/8-3/16)=

$$\frac { 4 } { 5 } \cdot ( \frac { 11 } { 8 } - \frac { 3 } { 16 } ) =$$

Evaluate

$$\frac{19}{20}=0.95$$

Solution Steps

Least common multiple of 8 and 16 is 16. Convert \frac{11}{8} and \frac{3}{16} to fractions with denominator 16.

$$\frac{4}{5}\left(\frac{22}{16}-\frac{3}{16}\right)$$

Since \frac{22}{16} and \frac{3}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4}{5}\times \frac{22-3}{16}$$

Subtract 3 from 22 to get 19.

$$\frac{4}{5}\times \frac{19}{16}$$

Multiply \frac{4}{5} times \frac{19}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 19}{5\times 16}$$

Do the multiplications in the fraction \frac{4\times 19}{5\times 16}.

$$\frac{76}{80}$$

Reduce the fraction \frac{76}{80} to lowest terms by extracting and canceling out 4.

$$\frac{19}{20}$$

Factor

$$\frac{19}{2 ^ {2} \cdot 5} = 0.95$$