Solve the problem

Question

Solve the problem

ScanSolve AI Tutor · Accepted Answer

To solve the problem, we need to add the two fractions.

Find a common denominator for $\frac{1}{2}$ and $\frac{1}{3}$ .
The least common multiple of 2 and 3 is 6. So, the common denominator is 6.
Convert each fraction to an equivalent fraction with the common denominator.
For $\frac{1}{2}$ : Multiply the numerator and denominator by 3.
$\frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6}$
For $\frac{1}{3}$ : Multiply the numerator and denominator by 2.
$\frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{2}{6}$
Add the new fractions.
$\frac{3}{6} + \frac{2}{6} = \frac{3+2}{6} = \frac{5}{6}$
The fraction $\frac{5}{6}$ cannot be simplified further.
The final answer is $\frac{5}{6}$ .

Answer