Question

how can i add \\(\frac{1}{3}\\) and \\(\frac{1}{2}\\)? think about the relationship between the denominators 3 and 2. complete the sentence. 3 is not a multiple of 2. which number is a common denominator for \\(\frac{1}{3}\\) and \\(\frac{1}{2}\\)? 6 \\(\frac{1}{3} + \frac{1}{2} = \frac{2}{6} + \frac{3}{6} = \frac{5}{6}\\) key idea how can i add... when one denominator is not a multiple of the other den...? i can rewrite... fractions so that they have the same denominator and then add the fractions.

Explanation:

Step1: Find common denominator

The denominators are 3 and 2. Their least common denominator is $3 \times 2 = 6$.

Step2: Rewrite fractions

$\frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{2}{6}$, $\frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6}$

Step3: Add numerators

$\frac{2}{6} + \frac{3}{6} = \frac{2 + 3}{6} = \frac{5}{6}$

Answer:

$\frac{5}{6}$