Solve 5/18+28/45

$$\frac { 5 } { 18 } + \frac { 28 } { 45 }$$

Evaluate

$$\frac{9}{10}=0.9$$

Solution Steps

Least common multiple of 18 and 45 is 90. Convert \frac{5}{18} and \frac{28}{45} to fractions with denominator 90.

$$\frac{25}{90}+\frac{56}{90}$$

Since \frac{25}{90} and \frac{56}{90} have the same denominator, add them by adding their numerators.

$$\frac{25+56}{90}$$

Add 25 and 56 to get 81.

$$\frac{81}{90}$$

Reduce the fraction \frac{81}{90} to lowest terms by extracting and canceling out 9.

$$\frac{9}{10}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$