Solve 33/8div41/2

$$3 \frac { 3 } { 8 } \div 4 \frac { 1 } { 2 }$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Divide \frac{3\times 8+3}{8} by \frac{4\times 2+1}{2} by multiplying \frac{3\times 8+3}{8} by the reciprocal of \frac{4\times 2+1}{2}.

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

Cancel out 2 in both numerator and denominator.

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

Multiply 3 and 8 to get 24.

$$\frac{3+24}{4\left(1+2\times 4\right)}$$

Add 3 and 24 to get 27.

$$\frac{27}{4\left(1+2\times 4\right)}$$

Multiply 2 and 4 to get 8.

$$\frac{27}{4\left(1+8\right)}$$

Add 1 and 8 to get 9.

$$\frac{27}{4\times 9}$$

Multiply 4 and 9 to get 36.

$$\frac{27}{36}$$

Reduce the fraction \frac{27}{36} to lowest terms by extracting and canceling out 9.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$