Solve 18-(1/15+1/27)*125

$$18 - ( \frac { 1 } { 15 } + \frac { 1 } { 27 } ) \times 125$$

Evaluate

$$\frac{136}{27}\approx 5.037037037$$

Solution Steps

Least common multiple of 15 and 27 is 135. Convert \frac{1}{15} and \frac{1}{27} to fractions with denominator 135.

$$18-\left(\frac{9}{135}+\frac{5}{135}\right)\times 125$$

Since \frac{9}{135} and \frac{5}{135} have the same denominator, add them by adding their numerators.

$$18-\frac{9+5}{135}\times 125$$

Add 9 and 5 to get 14.

$$18-\frac{14}{135}\times 125$$

Express \frac{14}{135}\times 125 as a single fraction.

$$18-\frac{14\times 125}{135}$$

Multiply 14 and 125 to get 1750.

$$18-\frac{1750}{135}$$

Reduce the fraction \frac{1750}{135} to lowest terms by extracting and canceling out 5.

$$18-\frac{350}{27}$$

Convert 18 to fraction \frac{486}{27}.

$$\frac{486}{27}-\frac{350}{27}$$

Since \frac{486}{27} and \frac{350}{27} have the same denominator, subtract them by subtracting their numerators.

$$\frac{486-350}{27}$$

Subtract 350 from 486 to get 136.

$$\frac{136}{27}$$

Factor

$$\frac{2 ^ {3} \cdot 17}{3 ^ {3}} = 5\frac{1}{27} = 5.037037037037037$$