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(2) \( 5 \frac{1}{4}-3 \frac{3}{4} \)

Ask by Elliott Hobbs. in the United States
Mar 13,2025

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Answer

\( 1 \frac{1}{2} \)

Solution

1. Convert the mixed numbers to improper fractions: - \( 5 \frac{1}{4} = \frac{5 \times 4 + 1}{4} = \frac{21}{4} \) - \( 3 \frac{3}{4} = \frac{3 \times 4 + 3}{4} = \frac{15}{4} \) 2. Subtract the improper fractions: \[ \frac{21}{4} - \frac{15}{4} = \frac{21 - 15}{4} = \frac{6}{4} \] 3. Simplify the fraction: \[ \frac{6}{4} = \frac{3}{2} = 1 \frac{1}{2} \] Thus, the result is \( 1 \frac{1}{2} \).

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To solve \( 5 \frac{1}{4}-3 \frac{3}{4} \), first convert the mixed numbers to improper fractions. \( 5 \frac{1}{4} = \frac{21}{4} \) and \( 3 \frac{3}{4} = \frac{15}{4} \). Now, subtract the two fractions: \[ \frac{21}{4} - \frac{15}{4} = \frac{21 - 15}{4} = \frac{6}{4} = \frac{3}{2} \] So, the answer is \( \frac{3}{2} \) or \( 1 \frac{1}{2} \). When it comes to mixed numbers, they can work like a fun puzzle! Breaking them down into whole numbers and fractions makes it easier to manage the calculations. Over time, you’ll find that subtraction of mixed numbers gets smoother with practice—so don’t hesitate to play around with different examples! If you're curious about seeing mixed numbers in action beyond simple math, think about cooking! Recipes often use mixed numbers for measurements, making it a great real-world application. By mastering operations with mixed numbers, you're not just doing homework; you're prepping for culinary greatness!

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