Solve 55/6div11/6

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

Evaluate

$$5$$

Solution Steps

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

$$\frac{\left(5\times 6+5\right)\times 6}{6\left(1\times 6+1\right)}$$

Cancel out 6 in both numerator and denominator.

$$\frac{5+5\times 6}{1+6}$$

Multiply 5 and 6 to get 30.

$$\frac{5+30}{1+6}$$

Add 5 and 30 to get 35.

$$\frac{35}{1+6}$$

Add 1 and 6 to get 7.

$$\frac{35}{7}$$

Divide 35 by 7 to get 5.

$$5$$

Factor

$$5$$