Solve 21/3div24/5=

$$2 \frac { 1 } { 3 } \div 2 \frac { 4 } { 5 } =$$

Evaluate

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

Solution Steps

Divide \frac{2\times 3+1}{3} by \frac{2\times 5+4}{5} by multiplying \frac{2\times 3+1}{3} by the reciprocal of \frac{2\times 5+4}{5}.

$$\frac{\left(2\times 3+1\right)\times 5}{3\left(2\times 5+4\right)}$$

Multiply 2 and 3 to get 6.

$$\frac{\left(6+1\right)\times 5}{3\left(2\times 5+4\right)}$$

Add 6 and 1 to get 7.

$$\frac{7\times 5}{3\left(2\times 5+4\right)}$$

Multiply 7 and 5 to get 35.

$$\frac{35}{3\left(2\times 5+4\right)}$$

Multiply 2 and 5 to get 10.

$$\frac{35}{3\left(10+4\right)}$$

Add 10 and 4 to get 14.

$$\frac{35}{3\times 14}$$

Multiply 3 and 14 to get 42.

$$\frac{35}{42}$$

Reduce the fraction \frac{35}{42} to lowest terms by extracting and canceling out 7.

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

Factor

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