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

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

Evaluate

$$\frac{139}{60}\approx 2.316666667$$

Solution Steps

Multiply \frac{2}{5} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{2\times 8}{5\times 3}.

$$\frac{16}{15}+\frac{5}{4}$$

Least common multiple of 15 and 4 is 60. Convert \frac{16}{15} and \frac{5}{4} to fractions with denominator 60.

$$\frac{64}{60}+\frac{75}{60}$$

Since \frac{64}{60} and \frac{75}{60} have the same denominator, add them by adding their numerators.

$$\frac{64+75}{60}$$

Add 64 and 75 to get 139.

$$\frac{139}{60}$$

Factor

$$\frac{139}{2 ^ {2} \cdot 3 \cdot 5} = 2\frac{19}{60} = 2.316666666666667$$