Solve 7/2+5/18

$$\frac { 7 } { 2 } + \frac { 5 } { 18 }$$

Evaluate

$$\frac{34}{9}\approx 3.777777778$$

Solution Steps

Least common multiple of 2 and 18 is 18. Convert \frac{7}{2} and \frac{5}{18} to fractions with denominator 18.

$$\frac{63}{18}+\frac{5}{18}$$

Since \frac{63}{18} and \frac{5}{18} have the same denominator, add them by adding their numerators.

$$\frac{63+5}{18}$$

Add 63 and 5 to get 68.

$$\frac{68}{18}$$

Reduce the fraction \frac{68}{18} to lowest terms by extracting and canceling out 2.

$$\frac{34}{9}$$

Factor

$$\frac{2 \cdot 17}{3 ^ {2}} = 3\frac{7}{9} = 3.7777777777777777$$