Solve 5div5/6-5/6div5

$$5 \div \frac { 5 } { 6 } - \frac { 5 } { 6 } \div 5$$

Evaluate

$$\frac{35}{6}\approx 5.833333333$$

Solution Steps

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

$$5\times \frac{6}{5}-\frac{\frac{5}{6}}{5}$$

Cancel out 5 and 5.

$$6-\frac{\frac{5}{6}}{5}$$

Express \frac{\frac{5}{6}}{5} as a single fraction.

$$6-\frac{5}{6\times 5}$$

Cancel out 5 in both numerator and denominator.

$$6-\frac{1}{6}$$

Convert 6 to fraction \frac{36}{6}.

$$\frac{36}{6}-\frac{1}{6}$$

Since \frac{36}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36-1}{6}$$

Subtract 1 from 36 to get 35.

$$\frac{35}{6}$$

Factor

$$\frac{5 \cdot 7}{2 \cdot 3} = 5\frac{5}{6} = 5.833333333333333$$