Solve 38/18+215/18=

$$3 \frac { 8 } { 18 } + 2 \frac { 15 } { 18 } =$$

Evaluate

$$\frac{113}{18}\approx 6.277777778$$

Solution Steps

Multiply 3 and 18 to get 54.

$$\frac{54+8}{18}+\frac{2\times 18+15}{18}$$

Add 54 and 8 to get 62.

$$\frac{62}{18}+\frac{2\times 18+15}{18}$$

Reduce the fraction \frac{62}{18} to lowest terms by extracting and canceling out 2.

$$\frac{31}{9}+\frac{2\times 18+15}{18}$$

Multiply 2 and 18 to get 36.

$$\frac{31}{9}+\frac{36+15}{18}$$

Add 36 and 15 to get 51.

$$\frac{31}{9}+\frac{51}{18}$$

Reduce the fraction \frac{51}{18} to lowest terms by extracting and canceling out 3.

$$\frac{31}{9}+\frac{17}{6}$$

Least common multiple of 9 and 6 is 18. Convert \frac{31}{9} and \frac{17}{6} to fractions with denominator 18.

$$\frac{62}{18}+\frac{51}{18}$$

Since \frac{62}{18} and \frac{51}{18} have the same denominator, add them by adding their numerators.

$$\frac{62+51}{18}$$

Add 62 and 51 to get 113.

$$\frac{113}{18}$$

Factor

$$\frac{113}{2 \cdot 3 ^ {2}} = 6\frac{5}{18} = 6.277777777777778$$