Solve 3*5/9div5/4=

$$3 \times \frac { 5 } { 9 } \div \frac { 5 } { 4 } =$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

Express 3\times \frac{5}{9} as a single fraction.

$$\frac{\frac{3\times 5}{9}}{\frac{5}{4}}$$

Multiply 3 and 5 to get 15.

$$\frac{\frac{15}{9}}{\frac{5}{4}}$$

Reduce the fraction \frac{15}{9} to lowest terms by extracting and canceling out 3.

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

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

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

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

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

Cancel out 5 in both numerator and denominator.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$