Solve (2+1/4)+1.5

$$(2+ \frac{ 1 }{ 4 } )+1.5$$

Evaluate

$$3.75$$

Solution Steps

Convert 2 to fraction \frac{8}{4}.

$$\frac{8}{4}+\frac{1}{4}+1.5$$

Since \frac{8}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{8+1}{4}+1.5$$

Add 8 and 1 to get 9.

$$\frac{9}{4}+1.5$$

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.

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

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

$$\frac{9}{4}+\frac{6}{4}$$

Since \frac{9}{4} and \frac{6}{4} have the same denominator, add them by adding their numerators.

$$\frac{9+6}{4}$$

Add 9 and 6 to get 15.

$$\frac{15}{4}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {2}} = 3\frac{3}{4} = 3.75$$