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

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

Evaluate

$$\frac{58}{75}\approx 0.773333333$$

Solution Steps

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

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

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

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

Express \frac{\frac{8}{15}}{5} as a single fraction.

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

Multiply 15 and 5 to get 75.

$$\frac{8}{75}+\frac{2}{3}$$

Least common multiple of 75 and 3 is 75. Convert \frac{8}{75} and \frac{2}{3} to fractions with denominator 75.

$$\frac{8}{75}+\frac{50}{75}$$

Since \frac{8}{75} and \frac{50}{75} have the same denominator, add them by adding their numerators.

$$\frac{8+50}{75}$$

Add 8 and 50 to get 58.

$$\frac{58}{75}$$

Factor

$$\frac{2 \cdot 29}{3 \cdot 5 ^ {2}} = 0.7733333333333333$$