Solve 41/8div21/5

$$4 \frac { 1 } { 8 } \div 2 \frac { 1 } { 5 }$$

Evaluate

$$\frac{15}{8}=1.875$$

Solution Steps

Divide \frac{4\times 8+1}{8} by \frac{2\times 5+1}{5} by multiplying \frac{4\times 8+1}{8} by the reciprocal of \frac{2\times 5+1}{5}.

$$\frac{\left(4\times 8+1\right)\times 5}{8\left(2\times 5+1\right)}$$

Multiply 4 and 8 to get 32.

$$\frac{\left(32+1\right)\times 5}{8\left(2\times 5+1\right)}$$

Add 32 and 1 to get 33.

$$\frac{33\times 5}{8\left(2\times 5+1\right)}$$

Multiply 33 and 5 to get 165.

$$\frac{165}{8\left(2\times 5+1\right)}$$

Multiply 2 and 5 to get 10.

$$\frac{165}{8\left(10+1\right)}$$

Add 10 and 1 to get 11.

$$\frac{165}{8\times 11}$$

Multiply 8 and 11 to get 88.

$$\frac{165}{88}$$

Reduce the fraction \frac{165}{88} to lowest terms by extracting and canceling out 11.

$$\frac{15}{8}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {3}} = 1\frac{7}{8} = 1.875$$