Question

1. \\(\frac{1}{2} - \frac{3}{7} =\\)\\(= \underline{\quad\quad\quad} - \underline{\quad\quad\quad}\\)\\(= \underline{\quad\quad\quad}\\)

Explanation:

Step1: Find a common denominator

To subtract fractions with different denominators, we first find a common denominator. The least common denominator of 2 and 7 is 14. So we rewrite each fraction with denominator 14:
$\frac{1}{2}=\frac{1\times7}{2\times7}=\frac{7}{14}$ and $\frac{3}{7}=\frac{3\times2}{7\times2}=\frac{6}{14}$
So the expression becomes $\frac{7}{14}-\frac{6}{14}$

Step2: Subtract the numerators

Now that the fractions have the same denominator, we subtract the numerators:
$\frac{7 - 6}{14}=\frac{1}{14}$

Answer:

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