Solve 162/400+18/25

$$\frac { 162 } { 400 } + \frac { 18 } { 25 }$$

Evaluate

$$\frac{9}{8}=1.125$$

Solution Steps

Reduce the fraction \frac{162}{400} to lowest terms by extracting and canceling out 2.

$$\frac{81}{200}+\frac{18}{25}$$

Least common multiple of 200 and 25 is 200. Convert \frac{81}{200} and \frac{18}{25} to fractions with denominator 200.

$$\frac{81}{200}+\frac{144}{200}$$

Since \frac{81}{200} and \frac{144}{200} have the same denominator, add them by adding their numerators.

$$\frac{81+144}{200}$$

Add 81 and 144 to get 225.

$$\frac{225}{200}$$

Reduce the fraction \frac{225}{200} to lowest terms by extracting and canceling out 25.

$$\frac{9}{8}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {3}} = 1\frac{1}{8} = 1.125$$