Solve 31/4div11/2=

$$3 \frac { 1 } { 4 } \div 1 \frac { 1 } { 2 } =$$

Evaluate

$$\frac{13}{6}\approx 2.166666667$$

Solution Steps

Divide \frac{3\times 4+1}{4} by \frac{1\times 2+1}{2} by multiplying \frac{3\times 4+1}{4} by the reciprocal of \frac{1\times 2+1}{2}.

$$\frac{\left(3\times 4+1\right)\times 2}{4\left(1\times 2+1\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{1+3\times 4}{2\left(1+2\right)}$$

Multiply 3 and 4 to get 12.

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

Add 1 and 12 to get 13.

$$\frac{13}{2\left(1+2\right)}$$

Add 1 and 2 to get 3.

$$\frac{13}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$\frac{13}{6}$$

Factor

$$\frac{13}{2 \cdot 3} = 2\frac{1}{6} = 2.1666666666666665$$