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

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

Evaluate

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

Solution Steps

Multiply \frac{3}{5} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{3\times 3}{5\times 4}.

$$\frac{9}{20}+\frac{2}{5}\times \frac{3}{4}$$

Multiply \frac{2}{5} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9}{20}+\frac{2\times 3}{5\times 4}$$

Do the multiplications in the fraction \frac{2\times 3}{5\times 4}.

$$\frac{9}{20}+\frac{6}{20}$$

Since \frac{9}{20} and \frac{6}{20} have the same denominator, add them by adding their numerators.

$$\frac{9+6}{20}$$

Add 9 and 6 to get 15.

$$\frac{15}{20}$$

Reduce the fraction \frac{15}{20} to lowest terms by extracting and canceling out 5.

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

Factor

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