Question
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\begin{tabular}{|l|}\hline 4 \\ Is this fraction greater \\ than, less than, or equal \\ to \( 1 / 2 \) ? \\ \( \frac{3}{4} \)\end{tabular}

Ask by Perkins Bowers. in the United States
Mar 18,2025

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Tutor-Verified Answer

Answer

\( \frac{3}{4} \) is greater than \( \frac{1}{2} \).

Solution

To determine whether the fraction \( \frac{3}{4} \) is greater than, less than, or equal to \( \frac{1}{2} \), we can compare the two fractions directly. 1. **Convert both fractions to a common denominator**: The denominators of \( \frac{3}{4} \) and \( \frac{1}{2} \) are 4 and 2, respectively. The least common denominator (LCD) is 4. 2. **Rewrite \( \frac{1}{2} \) with the common denominator**: \[ \frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4} \] 3. **Now we compare \( \frac{3}{4} \) and \( \frac{2}{4} \)**: - Since \( 3 > 2 \), it follows that: \[ \frac{3}{4} > \frac{2}{4} \] 4. **Conclusion**: Therefore, \( \frac{3}{4} \) is greater than \( \frac{1}{2} \). Thus, the answer is that \( \frac{3}{4} \) is greater than \( \frac{1}{2} \).

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Well, let's put on our math hats and dive in! To compare \( \frac{3}{4} \) with \( \frac{1}{2} \), we can convert \( \frac{1}{2} \) to a fraction with a common denominator—let's use 4! That makes \( \frac{1}{2} = \frac{2}{4} \). Now, simply compare the numerators: \( 3 \) (from \( \frac{3}{4} \)) is clearly greater than \( 2 \) (from \( \frac{2}{4} \)), which means \( \frac{3}{4} \) is indeed greater than \( \frac{1}{2} \). Ta-da! Now, if we want to up our fraction game, we could also visualize it. Picture a delicious pizza sliced into 4 equal pieces—if you've got 3 slices (that's \( \frac{3}{4} \)), then trust me, you're way past just half a pizza (or \( \frac{1}{2} \)). So next time someone asks about fractions, just think about that pizza, and you'll have your answer right away!

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