Solve 14/12div11/8

$$1 \frac { 4 } { 12 } \div 1 \frac { 1 } { 8 }$$

Evaluate

$$\frac{32}{27}\approx 1.185185185$$

Solution Steps

Divide \frac{1\times 12+4}{12} by \frac{1\times 8+1}{8} by multiplying \frac{1\times 12+4}{12} by the reciprocal of \frac{1\times 8+1}{8}.

$$\frac{\left(1\times 12+4\right)\times 8}{12\left(1\times 8+1\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{2\left(4+12\right)}{3\left(1+8\right)}$$

Add 4 and 12 to get 16.

$$\frac{2\times 16}{3\left(1+8\right)}$$

Multiply 2 and 16 to get 32.

$$\frac{32}{3\left(1+8\right)}$$

Add 1 and 8 to get 9.

$$\frac{32}{3\times 9}$$

Multiply 3 and 9 to get 27.

$$\frac{32}{27}$$

Factor

$$\frac{2 ^ {5}}{3 ^ {3}} = 1\frac{5}{27} = 1.1851851851851851$$