Solve 3/4-(7/16-1/4)

$$\frac { 3 } { 4 } - ( \frac { 7 } { 16 } - \frac { 1 } { 4 } )$$

Evaluate

$$\frac{9}{16}=0.5625$$

Solution Steps

Least common multiple of 16 and 4 is 16. Convert \frac{7}{16} and \frac{1}{4} to fractions with denominator 16.

$$\frac{3}{4}-\left(\frac{7}{16}-\frac{4}{16}\right)$$

Since \frac{7}{16} and \frac{4}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{4}-\frac{7-4}{16}$$

Subtract 4 from 7 to get 3.

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

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

$$\frac{12}{16}-\frac{3}{16}$$

Since \frac{12}{16} and \frac{3}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-3}{16}$$

Subtract 3 from 12 to get 9.

$$\frac{9}{16}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {4}} = 0.5625$$