Quiz 5 Score: 8/9 Answered: 8/9 Question 7 Add: \( 6 \frac{7}{9}+4 \frac{8}{9} \)
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To add the mixed numbers \( 6 \frac{7}{9} + 4 \frac{8}{9} \), first, convert them into improper fractions. For \( 6 \frac{7}{9} \): \( 6 \times 9 + 7 = 54 + 7 = 61 \) So, it’s \( \frac{61}{9} \). For \( 4 \frac{8}{9} \): \( 4 \times 9 + 8 = 36 + 8 = 44 \) So, it’s \( \frac{44}{9} \). Now, add the improper fractions: \( \frac{61}{9} + \frac{44}{9} = \frac{61 + 44}{9} = \frac{105}{9} \). Convert \( \frac{105}{9} \) back to a mixed number: \( 105 \div 9 = 11\) with a remainder of \( 6 \), so it is \( 11 \frac{6}{9}\). Simplifying \( \frac{6}{9} \) gives \( \frac{2}{3} \). Thus, the final answer is \( 11 \frac{2}{3} \).
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