Solve 41/8/frac{3{10}}

$$\frac{ 4 \frac{ 1 }{ 8 } }{ \frac{ 3 }{ 10 } }$$

Evaluate

$$\frac{55}{4}=13.75$$

Solution Steps

Divide \frac{4\times 8+1}{8} by \frac{3}{10} by multiplying \frac{4\times 8+1}{8} by the reciprocal of \frac{3}{10}.

$$\frac{\left(4\times 8+1\right)\times 10}{8\times 3}$$

Cancel out 2 in both numerator and denominator.

$$\frac{5\left(1+4\times 8\right)}{3\times 4}$$

Multiply 4 and 8 to get 32.

$$\frac{5\left(1+32\right)}{3\times 4}$$

Add 1 and 32 to get 33.

$$\frac{5\times 33}{3\times 4}$$

Multiply 5 and 33 to get 165.

$$\frac{165}{3\times 4}$$

Multiply 3 and 4 to get 12.

$$\frac{165}{12}$$

Reduce the fraction \frac{165}{12} to lowest terms by extracting and canceling out 3.

$$\frac{55}{4}$$

Factor

$$\frac{5 \cdot 11}{2 ^ {2}} = 13\frac{3}{4} = 13.75$$