Solve 12/8div13/4

$$1 \frac{ 2 }{ 8 } \div 1 \frac{ 3 }{ 4 }$$

Evaluate

$$\frac{5}{7}\approx 0.714285714$$

Solution Steps

Divide \frac{1\times 8+2}{8} by \frac{1\times 4+3}{4} by multiplying \frac{1\times 8+2}{8} by the reciprocal of \frac{1\times 4+3}{4}.

$$\frac{\left(1\times 8+2\right)\times 4}{8\left(1\times 4+3\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{2+8}{2\left(3+4\right)}$$

Add 2 and 8 to get 10.

$$\frac{10}{2\left(3+4\right)}$$

Add 3 and 4 to get 7.

$$\frac{10}{2\times 7}$$

Multiply 2 and 7 to get 14.

$$\frac{10}{14}$$

Reduce the fraction \frac{10}{14} to lowest terms by extracting and canceling out 2.

$$\frac{5}{7}$$

Factor

$$\frac{5}{7} = 0.7142857142857143$$