Solve 5/4*2/3div1/2

$$\frac { 5 } { 4 } \times \frac { 2 } { 3 } \div \frac { 1 } { 2 }$$

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

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

$$\frac{\frac{5\times 2}{4\times 3}}{\frac{1}{2}}$$

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

$$\frac{\frac{10}{12}}{\frac{1}{2}}$$

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{5}{6}}{\frac{1}{2}}$$

Divide \frac{5}{6} by \frac{1}{2} by multiplying \frac{5}{6} by the reciprocal of \frac{1}{2}.

$$\frac{5}{6}\times 2$$

Express \frac{5}{6}\times 2 as a single fraction.

$$\frac{5\times 2}{6}$$

Multiply 5 and 2 to get 10.

$$\frac{10}{6}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$