Let's add $\frac{2}{5}$ and $\frac{4}{6}$ step by step! 🎉
1️⃣ Imagine you have 2 🍎 out of 5 in one box:
Group 1:
🍎 🍎
(2 out of 5)
➕
2️⃣ And 4 🍏 out of 6 in another box:
🍎 🍎
(2 out of 5)
Group 2:
🍏 🍏 🍏 🍏
(4 out of 6)
3️⃣ To add fractions, we need the same bottom number (denominator). Let's find the smallest number both 5 and 6 can go into. It's 30! 🎯
4️⃣ Change fractions to have denominator 30:
$\frac{2}{5} = \frac{2 \times 6}{5 \times 6} = \frac{12}{30}$
$\frac{4}{6} = \frac{4 \times 5}{6 \times 5} = \frac{20}{30}$
5️⃣ Now add the top numbers (numerators):
$12 + 20 = 32$
6️⃣ So, $\frac{12}{30} + \frac{20}{30} = \frac{32}{30}$
7️⃣ This is an improper fraction because 32 is bigger than 30. Let's change it to a mixed number:
$\frac{32}{30} = 1 \frac{2}{30}$
8️⃣ Simplify $\frac{2}{30}$ by dividing top and bottom by 2:
$\frac{2}{30} = \frac{1}{15}$
🎉 Final answer:
$$\frac{2}{5} + \frac{4}{6} = 1 \frac{1}{15}$$
Great job! You did awesome adding fractions! 🎉🍎🍏🍏 🍏 🍏 🍏
(4 out of 6)