Solve 31/6div15/6

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

Evaluate

$$\frac{19}{11}\approx 1.727272727$$

Solution Steps

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

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

Cancel out 6 in both numerator and denominator.

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

Multiply 3 and 6 to get 18.

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

Add 1 and 18 to get 19.

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

Add 5 and 6 to get 11.

$$\frac{19}{11}$$

Factor

$$\frac{19}{11} = 1\frac{8}{11} = 1.7272727272727273$$