25- Find the dificrence. \[ 3 \frac{1}{7}-\frac{2}{7}= \]

To solve \( 3 \frac{1}{7} - \frac{2}{7} \), start by converting the mixed number into an improper fraction. This gives you \( \frac{22}{7} \) for \( 3 \frac{1}{7} \) because \( 3 \times 7 + 1 = 22 \). Now, subtract \( \frac{2}{7} \) from \( \frac{22}{7} \): \[ \frac{22}{7} - \frac{2}{7} = \frac{20}{7} \] Finally, convert \( \frac{20}{7} \) back to a mixed number: it results in \( 2 \frac{6}{7} \). So, the final answer is \( 2 \frac{6}{7} \). Understanding mixed numbers and improper fractions can be quite fun! Did you know that mixed numbers were used in ancient times by the Egyptians? They had their own system of fractions, using hieroglyphs to denote fractions, which makes our simple subtraction seem like a walk in the park! When working with fractions, a common mistake is not aligning the denominators. Always ensure that fractions share the same denominator before performing operations. It's like trying to bake a cake with different types of flour – they just don’t mix well!