Solve 4/5*0.5+0.5^3-0.01

$$\frac { 4 } { 5 } \times 0.5 + 0.5 ^ { 3 } - 0.01$$

Evaluate

$$0.515$$

Solution Steps

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{4}{5}\times \frac{1}{2}+0.5^{3}-0.01$$

Multiply \frac{4}{5} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 1}{5\times 2}+0.5^{3}-0.01$$

Do the multiplications in the fraction \frac{4\times 1}{5\times 2}.

$$\frac{4}{10}+0.5^{3}-0.01$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}+0.5^{3}-0.01$$

Calculate 0.5 to the power of 3 and get 0.125.

$$\frac{2}{5}+0.125-0.01$$

Convert decimal number 0.125 to fraction \frac{125}{1000}. Reduce the fraction \frac{125}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{2}{5}+\frac{1}{8}-0.01$$

Least common multiple of 5 and 8 is 40. Convert \frac{2}{5} and \frac{1}{8} to fractions with denominator 40.

$$\frac{16}{40}+\frac{5}{40}-0.01$$

Since \frac{16}{40} and \frac{5}{40} have the same denominator, add them by adding their numerators.

$$\frac{16+5}{40}-0.01$$

Add 16 and 5 to get 21.

$$\frac{21}{40}-0.01$$

Convert decimal number 0.01 to fraction \frac{1}{100}.

$$\frac{21}{40}-\frac{1}{100}$$

Least common multiple of 40 and 100 is 200. Convert \frac{21}{40} and \frac{1}{100} to fractions with denominator 200.

$$\frac{105}{200}-\frac{2}{200}$$

Since \frac{105}{200} and \frac{2}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{105-2}{200}$$

Subtract 2 from 105 to get 103.

$$\frac{103}{200}$$

Factor

$$\frac{103}{2 ^ {3} \cdot 5 ^ {2}} = 0.515$$