Solve 25/8div13/4

$$2 \frac { 5 } { 8 } \div 1 \frac { 3 } { 4 }$$

Evaluate

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

Solution Steps

Divide \frac{2\times 8+5}{8} by \frac{1\times 4+3}{4} by multiplying \frac{2\times 8+5}{8} by the reciprocal of \frac{1\times 4+3}{4}.

$$\frac{\left(2\times 8+5\right)\times 4}{8\left(1\times 4+3\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{5+2\times 8}{2\left(3+4\right)}$$

Multiply 2 and 8 to get 16.

$$\frac{5+16}{2\left(3+4\right)}$$

Add 5 and 16 to get 21.

$$\frac{21}{2\left(3+4\right)}$$

Add 3 and 4 to get 7.

$$\frac{21}{2\times 7}$$

Multiply 2 and 7 to get 14.

$$\frac{21}{14}$$

Reduce the fraction \frac{21}{14} to lowest terms by extracting and canceling out 7.

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

Factor

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