Solve 11/3:2/5=

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

Evaluate

$$\frac{10}{3}\approx 3.333333333$$

Solution Steps

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

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

Multiply 1 and 3 to get 3.

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

Add 3 and 1 to get 4.

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

Multiply 4 and 5 to get 20.

$$\frac{20}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$\frac{20}{6}$$

Reduce the fraction \frac{20}{6} to lowest terms by extracting and canceling out 2.

$$\frac{10}{3}$$

Factor

$$\frac{2 \cdot 5}{3} = 3\frac{1}{3} = 3.3333333333333335$$