Solve 21/3div13/5

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

Evaluate

$$\frac{35}{24}\approx 1.458333333$$

Solution Steps

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

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

Multiply 2 and 3 to get 6.

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

Add 6 and 1 to get 7.

$$\frac{7\times 5}{3\left(1\times 5+3\right)}$$

Multiply 7 and 5 to get 35.

$$\frac{35}{3\left(1\times 5+3\right)}$$

Multiply 1 and 5 to get 5.

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

Add 5 and 3 to get 8.

$$\frac{35}{3\times 8}$$

Multiply 3 and 8 to get 24.

$$\frac{35}{24}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {3} \cdot 3} = 1\frac{11}{24} = 1.4583333333333333$$