Solve 3/4*2/5+8/15

$$\frac { 3 } { 4 } \cdot \frac { 2 } { 5 } + \frac { 8 } { 15 }$$

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

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

$$\frac{3\times 2}{4\times 5}+\frac{8}{15}$$

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

$$\frac{6}{20}+\frac{8}{15}$$

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

$$\frac{3}{10}+\frac{8}{15}$$

Least common multiple of 10 and 15 is 30. Convert \frac{3}{10} and \frac{8}{15} to fractions with denominator 30.

$$\frac{9}{30}+\frac{16}{30}$$

Since \frac{9}{30} and \frac{16}{30} have the same denominator, add them by adding their numerators.

$$\frac{9+16}{30}$$

Add 9 and 16 to get 25.

$$\frac{25}{30}$$

Reduce the fraction \frac{25}{30} to lowest terms by extracting and canceling out 5.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$