Solve 55/8div1/6=

$$5 \frac { 5 } { 8 } \div \frac { 1 } { 6 } =$$

Evaluate

$$\frac{135}{4}=33.75$$

Solution Steps

Divide \frac{5\times 8+5}{8} by \frac{1}{6} by multiplying \frac{5\times 8+5}{8} by the reciprocal of \frac{1}{6}.

$$\frac{\left(5\times 8+5\right)\times 6}{8}$$

Multiply 5 and 8 to get 40.

$$\frac{\left(40+5\right)\times 6}{8}$$

Add 40 and 5 to get 45.

$$\frac{45\times 6}{8}$$

Multiply 45 and 6 to get 270.

$$\frac{270}{8}$$

Reduce the fraction \frac{270}{8} to lowest terms by extracting and canceling out 2.

$$\frac{135}{4}$$

Factor

$$\frac{3 ^ {3} \cdot 5}{2 ^ {2}} = 33\frac{3}{4} = 33.75$$