Solve 2.25-1/3

$$2.25- \frac{ 1 }{ 3 }$$

Evaluate

$$\frac{23}{12}\approx 1.916666667$$

Solution Steps

Convert decimal number 2.25 to fraction \frac{225}{100}. Reduce the fraction \frac{225}{100} to lowest terms by extracting and canceling out 25.

$$\frac{9}{4}-\frac{1}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{9}{4} and \frac{1}{3} to fractions with denominator 12.

$$\frac{27}{12}-\frac{4}{12}$$

Since \frac{27}{12} and \frac{4}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-4}{12}$$

Subtract 4 from 27 to get 23.

$$\frac{23}{12}$$

Factor

$$\frac{23}{3 \cdot 2 ^ {2}} = 1\frac{11}{12} = 1.9166666666666667$$