Solve 7/8-3/4*1/4

$$\frac { 7 } { 8 } - \frac { 3 } { 4 } \cdot \frac { 1 } { 4 }$$

Evaluate

$$\frac{11}{16}=0.6875$$

Solution Steps

Multiply \frac{3}{4} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7}{8}-\frac{3\times 1}{4\times 4}$$

Do the multiplications in the fraction \frac{3\times 1}{4\times 4}.

$$\frac{7}{8}-\frac{3}{16}$$

Least common multiple of 8 and 16 is 16. Convert \frac{7}{8} and \frac{3}{16} to fractions with denominator 16.

$$\frac{14}{16}-\frac{3}{16}$$

Since \frac{14}{16} and \frac{3}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-3}{16}$$

Subtract 3 from 14 to get 11.

$$\frac{11}{16}$$

Factor

$$\frac{11}{2 ^ {4}} = 0.6875$$