Solve 45/12+1.5-3

$$\frac{ 45 }{ 12 } +1.5-3$$

Evaluate

$$2.25$$

Solution Steps

Reduce the fraction \frac{45}{12} to lowest terms by extracting and canceling out 3.

$$\frac{15}{4}+1.5-3$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{15}{4}+\frac{3}{2}-3$$

Least common multiple of 4 and 2 is 4. Convert \frac{15}{4} and \frac{3}{2} to fractions with denominator 4.

$$\frac{15}{4}+\frac{6}{4}-3$$

Since \frac{15}{4} and \frac{6}{4} have the same denominator, add them by adding their numerators.

$$\frac{15+6}{4}-3$$

Add 15 and 6 to get 21.

$$\frac{21}{4}-3$$

Convert 3 to fraction \frac{12}{4}.

$$\frac{21}{4}-\frac{12}{4}$$

Since \frac{21}{4} and \frac{12}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-12}{4}$$

Subtract 12 from 21 to get 9.

$$\frac{9}{4}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2}} = 2\frac{1}{4} = 2.25$$