Solve 31/2div11/4

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

Evaluate

$$\frac{14}{5}=2.8$$

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

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

Multiply 2 and 3 to get 6.

$$\frac{2\left(1+6\right)}{1+4}$$

Add 1 and 6 to get 7.

$$\frac{2\times 7}{1+4}$$

Multiply 2 and 7 to get 14.

$$\frac{14}{1+4}$$

Add 1 and 4 to get 5.

$$\frac{14}{5}$$

Factor

$$\frac{2 \cdot 7}{5} = 2\frac{4}{5} = 2.8$$