Solve 51/2/frac{11{3}}

$$\frac{ 5 \frac{ 1 }{ 2 } }{ \frac{ 11 }{ 3 } }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Divide \frac{5\times 2+1}{2} by \frac{11}{3} by multiplying \frac{5\times 2+1}{2} by the reciprocal of \frac{11}{3}.

$$\frac{\left(5\times 2+1\right)\times 3}{2\times 11}$$

Multiply 5 and 2 to get 10.

$$\frac{\left(10+1\right)\times 3}{2\times 11}$$

Add 10 and 1 to get 11.

$$\frac{11\times 3}{2\times 11}$$

Multiply 11 and 3 to get 33.

$$\frac{33}{2\times 11}$$

Multiply 2 and 11 to get 22.

$$\frac{33}{22}$$

Reduce the fraction \frac{33}{22} to lowest terms by extracting and canceling out 11.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$