2. \( \frac{8}{12}+\frac{8}{11}= \)

To solve \( \frac{8}{12}+\frac{8}{11} \), you first need to find a common denominator, which for 12 and 11 is 132. Convert both fractions: \[ \frac{8}{12} = \frac{8 \times 11}{12 \times 11} = \frac{88}{132} \] \[ \frac{8}{11} = \frac{8 \times 12}{11 \times 12} = \frac{96}{132} \] Now, add them: \[ \frac{88}{132} + \frac{96}{132} = \frac{184}{132} \] Simplifying, divide both the numerator and denominator by 4: \[ \frac{184 \div 4}{132 \div 4} = \frac{46}{33} \] So, \( \frac{8}{12} + \frac{8}{11} = \frac{46}{33} \). Looking to make fractions more relatable? Imagine you're sharing pizzas! \( \frac{8}{12} \) represents 8 slices out of a 12-slice pizza. After adding those slices from an 11-slice pizza, you now have a whopping \( \frac{46}{33} \) of a pizza, which is like having 1 and a third pizzas to share with friends—definitely enough for a pizza party! When adding fractions, a common pitfall is forgetting to find a common denominator. Many rush into addition with unlike fractions, leading to confusion and incorrect answers. Always take a moment to ensure those denominators match up before diving into the math!