Solve 13/8div11/12

$$1 \frac { 3 } { 8 } \div 1 \frac { 1 } { 12 }$$

Evaluate

$$\frac{33}{26}\approx 1.269230769$$

Solution Steps

Divide \frac{1\times 8+3}{8} by \frac{1\times 12+1}{12} by multiplying \frac{1\times 8+3}{8} by the reciprocal of \frac{1\times 12+1}{12}.

$$\frac{\left(1\times 8+3\right)\times 12}{8\left(1\times 12+1\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{3\left(3+8\right)}{2\left(1+12\right)}$$

Add 3 and 8 to get 11.

$$\frac{3\times 11}{2\left(1+12\right)}$$

Multiply 3 and 11 to get 33.

$$\frac{33}{2\left(1+12\right)}$$

Add 1 and 12 to get 13.

$$\frac{33}{2\times 13}$$

Multiply 2 and 13 to get 26.

$$\frac{33}{26}$$

Factor

$$\frac{3 \cdot 11}{2 \cdot 13} = 1\frac{7}{26} = 1.2692307692307692$$