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mple \#1: \( 5 \frac{1}{3}+3 \frac{1}{4}= \)

Ask by Barnett Medina. in the United States
Jan 21,2025

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\[ 5 \frac{1}{3} + 3 \frac{1}{4} = 8 \frac{7}{12} \]

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The Deep Dive

Did you know that mixed numbers like \( 5 \frac{1}{3} \) and \( 3 \frac{1}{4} \) can be more manageable if you convert them into improper fractions? By doing so, you can rework this problem into \( \frac{16}{3} + \frac{13}{4} \). This makes it easier to add after finding a common denominator—what a time saver! After finding that common denominator of 12, you’d convert \( \frac{16}{3} \) into \( \frac{64}{12} \) and \( \frac{13}{4} \) into \( \frac{39}{12} \). Then, adding them together gives you \( \frac{103}{12} \), which can be converted back to a mixed number: \( 8 \frac{7}{12} \). Now that's a tasty sum!

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