Solve 3/4+5/6+1/15=

$$\frac{ 3 }{ 4 } + \frac{ 5 }{ 6 } + \frac{ 1 }{ 15 } =$$

Evaluate

$$\frac{33}{20}=1.65$$

Solution Steps

Least common multiple of 4 and 6 is 12. Convert \frac{3}{4} and \frac{5}{6} to fractions with denominator 12.

$$\frac{9}{12}+\frac{10}{12}+\frac{1}{15}$$

Since \frac{9}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+10}{12}+\frac{1}{15}$$

Add 9 and 10 to get 19.

$$\frac{19}{12}+\frac{1}{15}$$

Least common multiple of 12 and 15 is 60. Convert \frac{19}{12} and \frac{1}{15} to fractions with denominator 60.

$$\frac{95}{60}+\frac{4}{60}$$

Since \frac{95}{60} and \frac{4}{60} have the same denominator, add them by adding their numerators.

$$\frac{95+4}{60}$$

Add 95 and 4 to get 99.

$$\frac{99}{60}$$

Reduce the fraction \frac{99}{60} to lowest terms by extracting and canceling out 3.

$$\frac{33}{20}$$

Factor

$$\frac{3 \cdot 11}{2 ^ {2} \cdot 5} = 1\frac{13}{20} = 1.65$$