(d) \( \frac{4}{5}-\frac{1}{10} \)

To solve \( \frac{4}{5}-\frac{1}{10} \), first, you need to find a common denominator. The least common denominator between 5 and 10 is 10. Convert \( \frac{4}{5} \) to tenths by multiplying both the numerator and denominator by 2, giving \( \frac{8}{10} \). Now, subtract: \[ \frac{8}{10} - \frac{1}{10} = \frac{7}{10} \] So, \( \frac{4}{5}-\frac{1}{10} = \frac{7}{10} \). To visualize this, imagine you have a delicious pan of brownies (who doesn't love brownies?). If you take four-fifths of the pan and then decide to give away a small piece that represents one-tenth of the pan, you still have seven-tenths of those scrumptious brownies left to enjoy! When working with fractions, it's easy to make mistakes! A common pitfall is forgetting to convert fractions to the same denominator before attempting to subtract. Always take that extra moment to ensure they’re lined up! It saves you from unnecessary frustration and keeps those brownies intact!