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

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

Evaluate

$$\frac{9}{10}=0.9$$

Solution Steps

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

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

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

$$\frac{6}{20}+\frac{3}{5}$$

Reduce the fraction \frac{6}{20} to lowest terms by extracting and canceling out 2.

$$\frac{3}{10}+\frac{3}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{3}{10} and \frac{3}{5} to fractions with denominator 10.

$$\frac{3}{10}+\frac{6}{10}$$

Since \frac{3}{10} and \frac{6}{10} have the same denominator, add them by adding their numerators.

$$\frac{3+6}{10}$$

Add 3 and 6 to get 9.

$$\frac{9}{10}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$