Solve 3/4-3/8div2/3

$$\frac { 3 } { 4 } - \frac { 3 } { 8 } \div \frac { 2 } { 3 }$$

Evaluate

$$\frac{3}{16}=0.1875$$

Solution Steps

Divide \frac{3}{8} by \frac{2}{3} by multiplying \frac{3}{8} by the reciprocal of \frac{2}{3}.

$$\frac{3}{4}-\frac{3}{8}\times \frac{3}{2}$$

Multiply \frac{3}{8} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{4}-\frac{3\times 3}{8\times 2}$$

Do the multiplications in the fraction \frac{3\times 3}{8\times 2}.

$$\frac{3}{4}-\frac{9}{16}$$

Least common multiple of 4 and 16 is 16. Convert \frac{3}{4} and \frac{9}{16} to fractions with denominator 16.

$$\frac{12}{16}-\frac{9}{16}$$

Since \frac{12}{16} and \frac{9}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-9}{16}$$

Subtract 9 from 12 to get 3.

$$\frac{3}{16}$$

Factor

$$\frac{3}{2 ^ {4}} = 0.1875$$