Solve 15/16div131/8

$$\frac { 15 } { 16 } \div 13 \frac { 1 } { 8 }$$

Evaluate

$$\frac{1}{14}\approx 0.071428571$$

Solution Steps

Divide \frac{15}{16} by \frac{13\times 8+1}{8} by multiplying \frac{15}{16} by the reciprocal of \frac{13\times 8+1}{8}.

$$\frac{15\times 8}{16\left(13\times 8+1\right)}$$

Cancel out 8 in both numerator and denominator.

$$\frac{15}{2\left(1+8\times 13\right)}$$

Multiply 8 and 13 to get 104.

$$\frac{15}{2\left(1+104\right)}$$

Add 1 and 104 to get 105.

$$\frac{15}{2\times 105}$$

Multiply 2 and 105 to get 210.

$$\frac{15}{210}$$

Reduce the fraction \frac{15}{210} to lowest terms by extracting and canceling out 15.

$$\frac{1}{14}$$

Factor

$$\frac{1}{2 \cdot 7} = 0.07142857142857142$$