Solve 312/31div213/31

$$3 \frac { 12 } { 31 } \div 2 \frac { 13 } { 31 }$$

Evaluate

$$\frac{7}{5}=1.4$$

Solution Steps

Divide \frac{3\times 31+12}{31} by \frac{2\times 31+13}{31} by multiplying \frac{3\times 31+12}{31} by the reciprocal of \frac{2\times 31+13}{31}.

$$\frac{\left(3\times 31+12\right)\times 31}{31\left(2\times 31+13\right)}$$

Cancel out 31 in both numerator and denominator.

$$\frac{12+3\times 31}{13+2\times 31}$$

Multiply 3 and 31 to get 93.

$$\frac{12+93}{13+2\times 31}$$

Add 12 and 93 to get 105.

$$\frac{105}{13+2\times 31}$$

Multiply 2 and 31 to get 62.

$$\frac{105}{13+62}$$

Add 13 and 62 to get 75.

$$\frac{105}{75}$$

Reduce the fraction \frac{105}{75} to lowest terms by extracting and canceling out 15.

$$\frac{7}{5}$$

Factor

$$\frac{7}{5} = 1\frac{2}{5} = 1.4$$