Solve 3*(4/5-1/10)

$$3 \times ( \frac { 4 } { 5 } - \frac { 1 } { 10 } )$$

Evaluate

$$\frac{21}{10}=2.1$$

Solution Steps

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

$$3\left(\frac{8}{10}-\frac{1}{10}\right)$$

Since \frac{8}{10} and \frac{1}{10} have the same denominator, subtract them by subtracting their numerators.

$$3\times \frac{8-1}{10}$$

Subtract 1 from 8 to get 7.

$$3\times \frac{7}{10}$$

Express 3\times \frac{7}{10} as a single fraction.

$$\frac{3\times 7}{10}$$

Multiply 3 and 7 to get 21.

$$\frac{21}{10}$$

Factor

$$\frac{3 \cdot 7}{2 \cdot 5} = 2\frac{1}{10} = 2.1$$