Solve 3/18+13/16+7/8

$$\frac { 3 } { 18 } + \frac { 13 } { 16 } + \frac { 7 } { 8 }$$

Evaluate

$$\frac{89}{48}\approx 1.854166667$$

Solution Steps

Reduce the fraction \frac{3}{18} to lowest terms by extracting and canceling out 3.

$$\frac{1}{6}+\frac{13}{16}+\frac{7}{8}$$

Least common multiple of 6 and 16 is 48. Convert \frac{1}{6} and \frac{13}{16} to fractions with denominator 48.

$$\frac{8}{48}+\frac{39}{48}+\frac{7}{8}$$

Since \frac{8}{48} and \frac{39}{48} have the same denominator, add them by adding their numerators.

$$\frac{8+39}{48}+\frac{7}{8}$$

Add 8 and 39 to get 47.

$$\frac{47}{48}+\frac{7}{8}$$

Least common multiple of 48 and 8 is 48. Convert \frac{47}{48} and \frac{7}{8} to fractions with denominator 48.

$$\frac{47}{48}+\frac{42}{48}$$

Since \frac{47}{48} and \frac{42}{48} have the same denominator, add them by adding their numerators.

$$\frac{47+42}{48}$$

Add 47 and 42 to get 89.

$$\frac{89}{48}$$

Factor

$$\frac{89}{2 ^ {4} \cdot 3} = 1\frac{41}{48} = 1.8541666666666667$$