Solve 31/12div21/6

$$3 \frac { 1 } { 12 } \div 2 \frac { 1 } { 6 }$$

Evaluate

$$\frac{37}{26}\approx 1.423076923$$

Solution Steps

Divide \frac{3\times 12+1}{12} by \frac{2\times 6+1}{6} by multiplying \frac{3\times 12+1}{12} by the reciprocal of \frac{2\times 6+1}{6}.

$$\frac{\left(3\times 12+1\right)\times 6}{12\left(2\times 6+1\right)}$$

Cancel out 6 in both numerator and denominator.

$$\frac{1+3\times 12}{2\left(1+2\times 6\right)}$$

Multiply 3 and 12 to get 36.

$$\frac{1+36}{2\left(1+2\times 6\right)}$$

Add 1 and 36 to get 37.

$$\frac{37}{2\left(1+2\times 6\right)}$$

Multiply 2 and 6 to get 12.

$$\frac{37}{2\left(1+12\right)}$$

Add 1 and 12 to get 13.

$$\frac{37}{2\times 13}$$

Multiply 2 and 13 to get 26.

$$\frac{37}{26}$$

Factor

$$\frac{37}{2 \cdot 13} = 1\frac{11}{26} = 1.4230769230769231$$