Introduction to addition or subtraction of fractions with different... Add. \[ \frac{1}{2}+\frac{3}{7} \]

Step 1 ：To add fractions with different denominators, we need to find a common denominator. The common denominator is typically the least common multiple (LCM) of the two denominators. In this case, the denominators are 2 and 7. The LCM of 2 and 7 is 14.

Step 2 ：Once we have the common denominator, we can convert each fraction to an equivalent fraction with the common denominator and then add the numerators. So, \(\frac{1}{2}\) becomes \(\frac{7}{14}\) and \(\frac{3}{7}\) becomes \(\frac{6}{14}\).

Step 3 ：Adding these two fractions gives us \(\frac{7}{14} + \(\frac{6}{14} = \frac{13}{14}\).

Step 4 ：Final Answer: \(\boxed{\frac{13}{14}}\)