Solve 3/4-(3/8-1/16)

$$\frac { 3 } { 4 } - ( \frac { 3 } { 8 } - \frac { 1 } { 16 } )$$

Evaluate

$$\frac{7}{16}=0.4375$$

Solution Steps

Least common multiple of 8 and 16 is 16. Convert \frac{3}{8} and \frac{1}{16} to fractions with denominator 16.

$$\frac{3}{4}-\left(\frac{6}{16}-\frac{1}{16}\right)$$

Since \frac{6}{16} and \frac{1}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{4}-\frac{6-1}{16}$$

Subtract 1 from 6 to get 5.

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

Least common multiple of 4 and 16 is 16. Convert \frac{3}{4} and \frac{5}{16} to fractions with denominator 16.

$$\frac{12}{16}-\frac{5}{16}$$

Since \frac{12}{16} and \frac{5}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-5}{16}$$

Subtract 5 from 12 to get 7.

$$\frac{7}{16}$$

Factor

$$\frac{7}{2 ^ {4}} = 0.4375$$