Solve 55/8div21/4

$$5 \frac { 5 } { 8 } \div 2 \frac { 1 } { 4 }$$

Evaluate

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

Solution Steps

Divide \frac{5\times 8+5}{8} by \frac{2\times 4+1}{4} by multiplying \frac{5\times 8+5}{8} by the reciprocal of \frac{2\times 4+1}{4}.

$$\frac{\left(5\times 8+5\right)\times 4}{8\left(2\times 4+1\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{5+5\times 8}{2\left(1+2\times 4\right)}$$

Multiply 5 and 8 to get 40.

$$\frac{5+40}{2\left(1+2\times 4\right)}$$

Add 5 and 40 to get 45.

$$\frac{45}{2\left(1+2\times 4\right)}$$

Multiply 2 and 4 to get 8.

$$\frac{45}{2\left(1+8\right)}$$

Add 1 and 8 to get 9.

$$\frac{45}{2\times 9}$$

Multiply 2 and 9 to get 18.

$$\frac{45}{18}$$

Reduce the fraction \frac{45}{18} to lowest terms by extracting and canceling out 9.

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

Factor

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