Solve 202/3:152/4

$$20 \frac { 2 } { 3 } : 15 \frac { 2 } { 4 }$$

Evaluate

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

Solution Steps

Divide \frac{20\times 3+2}{3} by \frac{15\times 4+2}{4} by multiplying \frac{20\times 3+2}{3} by the reciprocal of \frac{15\times 4+2}{4}.

$$\frac{\left(20\times 3+2\right)\times 4}{3\left(15\times 4+2\right)}$$

Multiply 20 and 3 to get 60.

$$\frac{\left(60+2\right)\times 4}{3\left(15\times 4+2\right)}$$

Add 60 and 2 to get 62.

$$\frac{62\times 4}{3\left(15\times 4+2\right)}$$

Multiply 62 and 4 to get 248.

$$\frac{248}{3\left(15\times 4+2\right)}$$

Multiply 15 and 4 to get 60.

$$\frac{248}{3\left(60+2\right)}$$

Add 60 and 2 to get 62.

$$\frac{248}{3\times 62}$$

Multiply 3 and 62 to get 186.

$$\frac{248}{186}$$

Reduce the fraction \frac{248}{186} to lowest terms by extracting and canceling out 62.

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

Factor

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