Solve 61/3div15/6

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

Evaluate

$$\frac{38}{11}\approx 3.454545455$$

Solution Steps

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

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

Cancel out 3 in both numerator and denominator.

$$\frac{2\left(1+3\times 6\right)}{5+6}$$

Multiply 3 and 6 to get 18.

$$\frac{2\left(1+18\right)}{5+6}$$

Add 1 and 18 to get 19.

$$\frac{2\times 19}{5+6}$$

Multiply 2 and 19 to get 38.

$$\frac{38}{5+6}$$

Add 5 and 6 to get 11.

$$\frac{38}{11}$$

Factor

$$\frac{2 \cdot 19}{11} = 3\frac{5}{11} = 3.4545454545454546$$