Solve 3-7/4/frac{2{3}}

$$\frac { 3 - \frac { 7 } { 4 } } { \frac { 2 } { 3 } }$$

Evaluate

$$\frac{15}{8}=1.875$$

Solution Steps

Convert 3 to fraction \frac{12}{4}.

$$\frac{\frac{12}{4}-\frac{7}{4}}{\frac{2}{3}}$$

Since \frac{12}{4} and \frac{7}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{12-7}{4}}{\frac{2}{3}}$$

Subtract 7 from 12 to get 5.

$$\frac{\frac{5}{4}}{\frac{2}{3}}$$

Divide \frac{5}{4} by \frac{2}{3} by multiplying \frac{5}{4} by the reciprocal of \frac{2}{3}.

$$\frac{5}{4}\times \frac{3}{2}$$

Multiply \frac{5}{4} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{4\times 2}$$

Do the multiplications in the fraction \frac{5\times 3}{4\times 2}.

$$\frac{15}{8}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {3}} = 1\frac{7}{8} = 1.875$$