Solve 4/5*2/5+1/3

$$\frac { 4 } { 5 } \times \frac { 2 } { 5 } + \frac { 1 } { 3 }$$

Evaluate

$$\frac{49}{75}\approx 0.653333333$$

Solution Steps

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

$$\frac{4\times 2}{5\times 5}+\frac{1}{3}$$

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

$$\frac{8}{25}+\frac{1}{3}$$

Least common multiple of 25 and 3 is 75. Convert \frac{8}{25} and \frac{1}{3} to fractions with denominator 75.

$$\frac{24}{75}+\frac{25}{75}$$

Since \frac{24}{75} and \frac{25}{75} have the same denominator, add them by adding their numerators.

$$\frac{24+25}{75}$$

Add 24 and 25 to get 49.

$$\frac{49}{75}$$

Factor

$$\frac{7 ^ {2}}{3 \cdot 5 ^ {2}} = 0.6533333333333333$$