Solve 2/5:2/3:11/3=

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

Evaluate

$$\frac{9}{20}=0.45$$

Solution Steps

Divide \frac{\frac{2}{5}}{\frac{2}{3}} by \frac{1\times 3+1}{3} by multiplying \frac{\frac{2}{5}}{\frac{2}{3}} by the reciprocal of \frac{1\times 3+1}{3}.

$$\frac{\frac{2}{5}\times 3}{\frac{2}{3}\left(1\times 3+1\right)}$$

Express \frac{2}{5}\times 3 as a single fraction.

$$\frac{\frac{2\times 3}{5}}{\frac{2}{3}\left(1\times 3+1\right)}$$

Multiply 2 and 3 to get 6.

$$\frac{\frac{6}{5}}{\frac{2}{3}\left(1\times 3+1\right)}$$

Multiply 1 and 3 to get 3.

$$\frac{\frac{6}{5}}{\frac{2}{3}\left(3+1\right)}$$

Add 3 and 1 to get 4.

$$\frac{\frac{6}{5}}{\frac{2}{3}\times 4}$$

Express \frac{2}{3}\times 4 as a single fraction.

$$\frac{\frac{6}{5}}{\frac{2\times 4}{3}}$$

Multiply 2 and 4 to get 8.

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

Divide \frac{6}{5} by \frac{8}{3} by multiplying \frac{6}{5} by the reciprocal of \frac{8}{3}.

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

Multiply \frac{6}{5} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{6\times 3}{5\times 8}.

$$\frac{18}{40}$$

Reduce the fraction \frac{18}{40} to lowest terms by extracting and canceling out 2.

$$\frac{9}{20}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2} \cdot 5} = 0.45$$