Solve 9/12+4/12=13/12

$$\frac { 9 } { 12 } + \frac { 4 } { 12 } = \frac { 13 } { 12 }$$

Verify

Solution Steps

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$\frac{3}{4}+\frac{4}{12}=\frac{13}{12}$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$\frac{3}{4}+\frac{1}{3}=\frac{13}{12}$$

Least common multiple of 4 and 3 is 12. Convert \frac{3}{4} and \frac{1}{3} to fractions with denominator 12.

$$\frac{9}{12}+\frac{4}{12}=\frac{13}{12}$$

Since \frac{9}{12} and \frac{4}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+4}{12}=\frac{13}{12}$$

Add 9 and 4 to get 13.

$$\frac{13}{12}=\frac{13}{12}$$

Compare \frac{13}{12} and \frac{13}{12}.

$$\text{true}$$