Solve 5/8*4/3+5/8div3/4

$$\frac { 5 } { 8 } \times \frac { 4 } { 3 } + \frac { 5 } { 8 } \div \frac { 3 } { 4 }$$

Evaluate

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

Solution Steps

Multiply \frac{5}{8} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 4}{8\times 3}+\frac{\frac{5}{8}}{\frac{3}{4}}$$

Do the multiplications in the fraction \frac{5\times 4}{8\times 3}.

$$\frac{20}{24}+\frac{\frac{5}{8}}{\frac{3}{4}}$$

Reduce the fraction \frac{20}{24} to lowest terms by extracting and canceling out 4.

$$\frac{5}{6}+\frac{\frac{5}{8}}{\frac{3}{4}}$$

Divide \frac{5}{8} by \frac{3}{4} by multiplying \frac{5}{8} by the reciprocal of \frac{3}{4}.

$$\frac{5}{6}+\frac{5}{8}\times \frac{4}{3}$$

Multiply \frac{5}{8} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{6}+\frac{5\times 4}{8\times 3}$$

Do the multiplications in the fraction \frac{5\times 4}{8\times 3}.

$$\frac{5}{6}+\frac{20}{24}$$

Reduce the fraction \frac{20}{24} to lowest terms by extracting and canceling out 4.

$$\frac{5}{6}+\frac{5}{6}$$

Since \frac{5}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{5+5}{6}$$

Add 5 and 5 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

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