Solve (4/5)-1/2+21/5/5-frac{3}{10}

$$( \frac { 4 } { 5 } ) - \frac { 1 } { 2 } + \frac { \frac { 21 } { 5 } } { 5 } - \frac { 3 } { 10 }$$

Evaluate

$$\frac{21}{25}=0.84$$

Solution Steps

Least common multiple of 5 and 2 is 10. Convert \frac{4}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{8}{10}-\frac{5}{10}+\frac{\frac{21}{5}}{5}-\frac{3}{10}$$

Since \frac{8}{10} and \frac{5}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-5}{10}+\frac{\frac{21}{5}}{5}-\frac{3}{10}$$

Subtract 5 from 8 to get 3.

$$\frac{3}{10}+\frac{\frac{21}{5}}{5}-\frac{3}{10}$$

Express \frac{\frac{21}{5}}{5} as a single fraction.

$$\frac{3}{10}+\frac{21}{5\times 5}-\frac{3}{10}$$

Multiply 5 and 5 to get 25.

$$\frac{3}{10}+\frac{21}{25}-\frac{3}{10}$$

Least common multiple of 10 and 25 is 50. Convert \frac{3}{10} and \frac{21}{25} to fractions with denominator 50.

$$\frac{15}{50}+\frac{42}{50}-\frac{3}{10}$$

Since \frac{15}{50} and \frac{42}{50} have the same denominator, add them by adding their numerators.

$$\frac{15+42}{50}-\frac{3}{10}$$

Add 15 and 42 to get 57.

$$\frac{57}{50}-\frac{3}{10}$$

Least common multiple of 50 and 10 is 50. Convert \frac{57}{50} and \frac{3}{10} to fractions with denominator 50.

$$\frac{57}{50}-\frac{15}{50}$$

Since \frac{57}{50} and \frac{15}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{57-15}{50}$$

Subtract 15 from 57 to get 42.

$$\frac{42}{50}$$

Reduce the fraction \frac{42}{50} to lowest terms by extracting and canceling out 2.

$$\frac{21}{25}$$

Factor

$$\frac{3 \cdot 7}{5 ^ {2}} = 0.84$$