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Bonus Knowledge
To add \( 6 \frac{7}{8} \) and \( 3 \), first, convert the mixed number into an improper fraction. This gives you \( \frac{55}{8} \) for \( 6 \frac{7}{8} \) (since \( 6 \times 8 + 7 = 55 \)). The whole number \( 3 \) can be expressed as \( \frac{24}{8} \). Now, add the two fractions: \[ \frac{55}{8} + \frac{24}{8} = \frac{79}{8} \] Now, convert that back into a mixed number, which is \( 9 \frac{7}{8} \). So, the final answer is \( 9 \frac{7}{8} \). Fun Fact: Did you know that fractions were once considered 'too messy' for mathematics, and many cultures preferred whole numbers? Thankfully, we’ve come a long way, and today fractions are celebrated for their role in the world of ratios and proportions! Real-world Application: Using mixed numbers and fractions is crucial in cooking and baking. For example, if a recipe calls for \( 6 \frac{7}{8} \) cups of flour and you want to double it, knowing how to manipulate these numbers helps ensure your cookies come out just right – who wouldn’t want to share delicious treats with friends?
