Solve 32/3div42/5

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

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

Divide \frac{3\times 3+2}{3} by \frac{4\times 5+2}{5} by multiplying \frac{3\times 3+2}{3} by the reciprocal of \frac{4\times 5+2}{5}.

$$\frac{\left(3\times 3+2\right)\times 5}{3\left(4\times 5+2\right)}$$

Multiply 3 and 3 to get 9.

$$\frac{\left(9+2\right)\times 5}{3\left(4\times 5+2\right)}$$

Add 9 and 2 to get 11.

$$\frac{11\times 5}{3\left(4\times 5+2\right)}$$

Multiply 11 and 5 to get 55.

$$\frac{55}{3\left(4\times 5+2\right)}$$

Multiply 4 and 5 to get 20.

$$\frac{55}{3\left(20+2\right)}$$

Add 20 and 2 to get 22.

$$\frac{55}{3\times 22}$$

Multiply 3 and 22 to get 66.

$$\frac{55}{66}$$

Reduce the fraction \frac{55}{66} to lowest terms by extracting and canceling out 11.

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

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$