Solve 2.2-2/3

$$2.2 - \frac { 2 } { 3 }$$

Evaluate

$$\frac{23}{15}\approx 1.533333333$$

Solution Steps

Convert decimal number 2.2 to fraction \frac{22}{10}. Reduce the fraction \frac{22}{10} to lowest terms by extracting and canceling out 2.

$$\frac{11}{5}-\frac{2}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{11}{5} and \frac{2}{3} to fractions with denominator 15.

$$\frac{33}{15}-\frac{10}{15}$$

Since \frac{33}{15} and \frac{10}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-10}{15}$$

Subtract 10 from 33 to get 23.

$$\frac{23}{15}$$

Factor

$$\frac{23}{3 \cdot 5} = 1\frac{8}{15} = 1.5333333333333334$$