Solve 83/4div31/2

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

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

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

Multiply 4 and 8 to get 32.

$$\frac{3+32}{2\left(1+2\times 3\right)}$$

Add 3 and 32 to get 35.

$$\frac{35}{2\left(1+2\times 3\right)}$$

Multiply 2 and 3 to get 6.

$$\frac{35}{2\left(1+6\right)}$$

Add 1 and 6 to get 7.

$$\frac{35}{2\times 7}$$

Multiply 2 and 7 to get 14.

$$\frac{35}{14}$$

Reduce the fraction \frac{35}{14} to lowest terms by extracting and canceling out 7.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$