Solve 55/6div5/8=

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

Evaluate

$$\frac{28}{3}\approx 9.333333333$$

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

$$\frac{4\left(5+5\times 6\right)}{3\times 5}$$

Multiply 5 and 6 to get 30.

$$\frac{4\left(5+30\right)}{3\times 5}$$

Add 5 and 30 to get 35.

$$\frac{4\times 35}{3\times 5}$$

Multiply 4 and 35 to get 140.

$$\frac{140}{3\times 5}$$

Multiply 3 and 5 to get 15.

$$\frac{140}{15}$$

Reduce the fraction \frac{140}{15} to lowest terms by extracting and canceling out 5.

$$\frac{28}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 7}{3} = 9\frac{1}{3} = 9.333333333333334$$