Solve |7/20+1/12

$$| \frac { 7 } { 20 } + \frac { 1 } { 12 }$$

Evaluate

$$\frac{13}{30}\approx 0.433333333$$

Solution Steps

Least common multiple of 20 and 12 is 60. Convert \frac{7}{20} and \frac{1}{12} to fractions with denominator 60.

$$|\frac{21}{60}+\frac{5}{60}|$$

Since \frac{21}{60} and \frac{5}{60} have the same denominator, add them by adding their numerators.

$$|\frac{21+5}{60}|$$

Add 21 and 5 to get 26.

$$|\frac{26}{60}|$$

Reduce the fraction \frac{26}{60} to lowest terms by extracting and canceling out 2.

$$|\frac{13}{30}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of \frac{13}{30} is \frac{13}{30}.

$$\frac{13}{30}$$

Factor

$$\frac{13}{2 \cdot 3 \cdot 5} = 0.43333333333333335$$