Solve 13/32div15/8

$$\frac { 13 } { 32 } \div 1 \frac { 5 } { 8 }$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Divide \frac{13}{32} by \frac{1\times 8+5}{8} by multiplying \frac{13}{32} by the reciprocal of \frac{1\times 8+5}{8}.

$$\frac{13\times 8}{32\left(1\times 8+5\right)}$$

Cancel out 8 in both numerator and denominator.

$$\frac{13}{4\left(5+8\right)}$$

Add 5 and 8 to get 13.

$$\frac{13}{4\times 13}$$

Multiply 4 and 13 to get 52.

$$\frac{13}{52}$$

Reduce the fraction \frac{13}{52} to lowest terms by extracting and canceling out 13.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$