Solve (2/20+1/5)*5*4

$$( \frac{ 2 }{ 20 } + \frac{ 1 }{ 5 } ) \times 5 \times 4$$

Evaluate

$$6$$

Solution Steps

Reduce the fraction \frac{2}{20} to lowest terms by extracting and canceling out 2.

$$\left(\frac{1}{10}+\frac{1}{5}\right)\times 5\times 4$$

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

$$\left(\frac{1}{10}+\frac{2}{10}\right)\times 5\times 4$$

Since \frac{1}{10} and \frac{2}{10} have the same denominator, add them by adding their numerators.

$$\frac{1+2}{10}\times 5\times 4$$

Add 1 and 2 to get 3.

$$\frac{3}{10}\times 5\times 4$$

Express \frac{3}{10}\times 5 as a single fraction.

$$\frac{3\times 5}{10}\times 4$$

Multiply 3 and 5 to get 15.

$$\frac{15}{10}\times 4$$

Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

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

Express \frac{3}{2}\times 4 as a single fraction.

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

Multiply 3 and 4 to get 12.

$$\frac{12}{2}$$

Divide 12 by 2 to get 6.

$$6$$

Factor

$$2\times 3$$