Solve 33/4div11/8

$$3 \frac { 3 } { 4 } \div 1 \frac { 1 } { 8 }$$

Evaluate

$$\frac{10}{3}\approx 3.333333333$$

Solution Steps

Divide \frac{3\times 4+3}{4} by \frac{1\times 8+1}{8} by multiplying \frac{3\times 4+3}{4} by the reciprocal of \frac{1\times 8+1}{8}.

$$\frac{\left(3\times 4+3\right)\times 8}{4\left(1\times 8+1\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{2\left(3+3\times 4\right)}{1+8}$$

Multiply 3 and 4 to get 12.

$$\frac{2\left(3+12\right)}{1+8}$$

Add 3 and 12 to get 15.

$$\frac{2\times 15}{1+8}$$

Multiply 2 and 15 to get 30.

$$\frac{30}{1+8}$$

Add 1 and 8 to get 9.

$$\frac{30}{9}$$

Reduce the fraction \frac{30}{9} to lowest terms by extracting and canceling out 3.

$$\frac{10}{3}$$

Factor

$$\frac{2 \cdot 5}{3} = 3\frac{1}{3} = 3.3333333333333335$$