Solve 2/3*3/4+5/2*4/5

$$2 / 3 \times 3 / 4 + 5 / 2 \times 4 / 5$$

Evaluate

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

Solution Steps

Multiply \frac{2}{3} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 3}{3\times 4}+\frac{5}{2}\times \frac{4}{5}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2}{4}+\frac{5}{2}\times \frac{4}{5}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}+\frac{5}{2}\times \frac{4}{5}$$

Multiply \frac{5}{2} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{2}+\frac{5\times 4}{2\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{1}{2}+\frac{4}{2}$$

Since \frac{1}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.

$$\frac{1+4}{2}$$

Add 1 and 4 to get 5.

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

Factor

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