Solve |2/3*(22/5-3/10)

$$| \frac { 2 } { 3 } \times ( 2 \frac { 2 } { 5 } - \frac { 3 } { 10 } )$$

Evaluate

$$\frac{7}{5}=1.4$$

Solution Steps

Multiply 2 and 5 to get 10.

$$|\frac{2}{3}\left(\frac{10+2}{5}-\frac{3}{10}\right)|$$

Add 10 and 2 to get 12.

$$|\frac{2}{3}\left(\frac{12}{5}-\frac{3}{10}\right)|$$

Least common multiple of 5 and 10 is 10. Convert \frac{12}{5} and \frac{3}{10} to fractions with denominator 10.

$$|\frac{2}{3}\left(\frac{24}{10}-\frac{3}{10}\right)|$$

Since \frac{24}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$|\frac{2}{3}\times \frac{24-3}{10}|$$

Subtract 3 from 24 to get 21.

$$|\frac{2}{3}\times \frac{21}{10}|$$

Multiply \frac{2}{3} times \frac{21}{10} by multiplying numerator times numerator and denominator times denominator.

$$|\frac{2\times 21}{3\times 10}|$$

Do the multiplications in the fraction \frac{2\times 21}{3\times 10}.

$$|\frac{42}{30}|$$

Reduce the fraction \frac{42}{30} to lowest terms by extracting and canceling out 6.

$$|\frac{7}{5}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of \frac{7}{5} is \frac{7}{5}.

$$\frac{7}{5}$$

Factor

$$\frac{7}{5} = 1\frac{2}{5} = 1.4$$