Solve 21/8div3/5=

$$2 \frac { 1 } { 8 } \div \frac { 3 } { 5 } =$$

Evaluate

$$\frac{85}{24}\approx 3.541666667$$

Solution Steps

Divide \frac{2\times 8+1}{8} by \frac{3}{5} by multiplying \frac{2\times 8+1}{8} by the reciprocal of \frac{3}{5}.

$$\frac{\left(2\times 8+1\right)\times 5}{8\times 3}$$

Multiply 2 and 8 to get 16.

$$\frac{\left(16+1\right)\times 5}{8\times 3}$$

Add 16 and 1 to get 17.

$$\frac{17\times 5}{8\times 3}$$

Multiply 17 and 5 to get 85.

$$\frac{85}{8\times 3}$$

Multiply 8 and 3 to get 24.

$$\frac{85}{24}$$

Factor

$$\frac{5 \cdot 17}{2 ^ {3} \cdot 3} = 3\frac{13}{24} = 3.5416666666666665$$