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1a. \( 4 \frac{4}{7}+4 \frac{4}{7}= \)

Ask by John Grant. in Belize
Jan 24,2025

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Answer

\( 4 \frac{4}{7} + 4 \frac{4}{7} = 9 \frac{1}{7} \)

Solution

To solve the addition of the mixed numbers \( 4 \frac{4}{7} + 4 \frac{4}{7} \), follow these steps: ### Step 1: Add the Whole Numbers Add the whole number parts of the mixed numbers: \[ 4 + 4 = 8 \] ### Step 2: Add the Fractional Parts Add the fractional parts: \[ \frac{4}{7} + \frac{4}{7} = \frac{8}{7} \] Since \(\frac{8}{7}\) is an improper fraction, it can be converted to a mixed number: \[ \frac{8}{7} = 1 \frac{1}{7} \] ### Step 3: Combine the Sums Now, add the sum of the whole numbers to the sum of the fractions: \[ 8 + 1 \frac{1}{7} = 9 \frac{1}{7} \] ### Final Answer \[ 4 \frac{4}{7} + 4 \frac{4}{7} = 9 \frac{1}{7} \]

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Bonus Knowledge

To add \( 4 \frac{4}{7} + 4 \frac{4}{7} \), first convert the mixed numbers into improper fractions. \( 4 \frac{4}{7} = \frac{32}{7} \). So, \( 4 \frac{4}{7} + 4 \frac{4}{7} = \frac{32}{7} + \frac{32}{7} = \frac{64}{7} \). To convert it back into a mixed number, divide: \( 64 \div 7 = 9\) with a remainder of \( 1\). Therefore, the answer is \( 9 \frac{1}{7} \). Now, imagine you’re serving slices of cake at a party. Each cake has \( 4 \frac{4}{7} \) pieces, and you have two cakes. How much cake do you have altogether in terms of complete portions? You’d definitely have enough to satisfy some cake lovers while leaving a nice fraction for seconds! 🍰 Need a reminder on how to deal with mixed numbers and improper fractions? When adding or subtracting, it helps to convert them all into improper fractions first. Many people mistakenly try to add the whole numbers and fractions separately without finding a common denominator first. So always check your steps and watch out for fractions wanting to play hide-and-seek!

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