Solve 4/5+4/5*1/5div8

$$\frac { 4 } { 5 } + \frac { 4 } { 5 } \times \frac { 1 } { 5 } \div 8$$

Evaluate

$$\frac{41}{50}=0.82$$

Solution Steps

Multiply \frac{4}{5} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4}{5}+\frac{\frac{4\times 1}{5\times 5}}{8}$$

Do the multiplications in the fraction \frac{4\times 1}{5\times 5}.

$$\frac{4}{5}+\frac{\frac{4}{25}}{8}$$

Express \frac{\frac{4}{25}}{8} as a single fraction.

$$\frac{4}{5}+\frac{4}{25\times 8}$$

Multiply 25 and 8 to get 200.

$$\frac{4}{5}+\frac{4}{200}$$

Reduce the fraction \frac{4}{200} to lowest terms by extracting and canceling out 4.

$$\frac{4}{5}+\frac{1}{50}$$

Least common multiple of 5 and 50 is 50. Convert \frac{4}{5} and \frac{1}{50} to fractions with denominator 50.

$$\frac{40}{50}+\frac{1}{50}$$

Since \frac{40}{50} and \frac{1}{50} have the same denominator, add them by adding their numerators.

$$\frac{40+1}{50}$$

Add 40 and 1 to get 41.

$$\frac{41}{50}$$

Factor

$$\frac{41}{2 \cdot 5 ^ {2}} = 0.82$$