Question

lets find \\(\frac{1}{2} + \frac{3}{7}\\). first write the addition with a common denominator. then add. \\(\frac{1}{2} + \frac{3}{7} = \frac{\square}{\square} + \frac{\square}{\square} = \frac{\square}{\square}\\)

Explanation:

Step1: Find common denominator

The least common denominator of 2 and 7 is $2 \times 7 = 14$.

Step2: Rewrite fractions

Convert each fraction to have denominator 14:
$\frac{1}{2} = \frac{1 \times 7}{2 \times 7} = \frac{7}{14}$
$\frac{3}{7} = \frac{3 \times 2}{7 \times 2} = \frac{6}{14}$

Step3: Add the fractions

Add the numerators over the common denominator:
$\frac{7}{14} + \frac{6}{14} = \frac{7+6}{14} = \frac{13}{14}$

Answer:

$\frac{1}{2} + \frac{3}{7} = \frac{7}{14} + \frac{6}{14} = \frac{13}{14}$