Solve 35/6div11/6

$$3 \frac { 5 } { 6 } \div 1 \frac { 1 } { 6 }$$

Evaluate

$$\frac{23}{7}\approx 3.285714286$$

Solution Steps

Divide \frac{3\times 6+5}{6} by \frac{1\times 6+1}{6} by multiplying \frac{3\times 6+5}{6} by the reciprocal of \frac{1\times 6+1}{6}.

$$\frac{\left(3\times 6+5\right)\times 6}{6\left(1\times 6+1\right)}$$

Cancel out 6 in both numerator and denominator.

$$\frac{5+3\times 6}{1+6}$$

Multiply 3 and 6 to get 18.

$$\frac{5+18}{1+6}$$

Add 5 and 18 to get 23.

$$\frac{23}{1+6}$$

Add 1 and 6 to get 7.

$$\frac{23}{7}$$

Factor

$$\frac{23}{7} = 3\frac{2}{7} = 3.2857142857142856$$