Solve left|3*9/7-2right|

$$\left| 3 \times \frac{ 9 }{ 7 } -2 \right|$$

Evaluate

$$\frac{13}{7}\approx 1.857142857$$

Solution Steps

Express 3\times \frac{9}{7} as a single fraction.

$$|\frac{3\times 9}{7}-2|$$

Multiply 3 and 9 to get 27.

$$|\frac{27}{7}-2|$$

Convert 2 to fraction \frac{14}{7}.

$$|\frac{27}{7}-\frac{14}{7}|$$

Since \frac{27}{7} and \frac{14}{7} have the same denominator, subtract them by subtracting their numerators.

$$|\frac{27-14}{7}|$$

Subtract 14 from 27 to get 13.

$$|\frac{13}{7}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of \frac{13}{7} is \frac{13}{7}.

$$\frac{13}{7}$$

Factor

$$\frac{13}{7} = 1\frac{6}{7} = 1.8571428571428572$$