Question

lets find \\(\frac{1}{2} - \frac{3}{7}\\). first write the subtraction with a common denominator. then subtract. \\(\frac{1}{2} - \frac{3}{7} = \frac{\square}{\square} - \frac{\square}{\square} = \frac{\square}{\square}\\)

Explanation:

Step1: Find common denominator

The denominators are 2 and 7. The least common denominator is \(2\times7 = 14\). Rewrite each fraction: \(\frac{1}{2}=\frac{1\times7}{2\times7}=\frac{7}{14}\), \(\frac{3}{7}=\frac{3\times2}{7\times2}=\frac{6}{14}\).

Step2: Subtract the fractions

Now subtract: \(\frac{7}{14}-\frac{6}{14}=\frac{7 - 6}{14}=\frac{1}{14}\).

Answer:

\(\frac{1}{2}-\frac{3}{7}=\frac{7}{14}-\frac{6}{14}=\frac{1}{14}\) (So the boxes are filled with 7, 14, 6, 14, 1, 14 respectively)