Solve 2.25+1.5/2.25

$$2.25+ \frac{ 1.5 }{ 2.25 }$$

Evaluate

$$\frac{35}{12}\approx 2.916666667$$

Solution Steps

Expand \frac{1.5}{2.25} by multiplying both numerator and the denominator by 100.

$$2.25+\frac{150}{225}$$

Reduce the fraction \frac{150}{225} to lowest terms by extracting and canceling out 75.

$$2.25+\frac{2}{3}$$

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.

$$\frac{9}{4}+\frac{2}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{9}{4} and \frac{2}{3} to fractions with denominator 12.

$$\frac{27}{12}+\frac{8}{12}$$

Since \frac{27}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{27+8}{12}$$

Add 27 and 8 to get 35.

$$\frac{35}{12}$$

Factor

$$\frac{5 \cdot 7}{3 \cdot 2 ^ {2}} = 2\frac{11}{12} = 2.9166666666666665$$