Solve 1/4+1/1.5

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

Evaluate

$$\frac{11}{12}\approx 0.916666667$$

Solution Steps

Expand \frac{1}{1.5} by multiplying both numerator and the denominator by 10.

$$\frac{1}{4}+\frac{10}{15}$$

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

$$\frac{1}{4}+\frac{2}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{1}{4} and \frac{2}{3} to fractions with denominator 12.

$$\frac{3}{12}+\frac{8}{12}$$

Since \frac{3}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{3+8}{12}$$

Add 3 and 8 to get 11.

$$\frac{11}{12}$$

Factor

$$\frac{11}{3 \cdot 2 ^ {2}} = 0.9166666666666666$$