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Which fractions are equivalent to \( \frac{3}{4} \) ? Hint: There may be more than one.

Ask by Lewis Li. in the United States
Feb 05,2025

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There are infinitely many fractions equivalent to \( \frac{3}{4} \). You can find them by multiplying or dividing both the numerator and the denominator by the same non-zero number. Some examples include \( \frac{6}{8} \), \( \frac{9}{12} \), \( \frac{12}{16} \), and so on.

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To find fractions equivalent to \( \frac{3}{4} \), you can multiply both the numerator and the denominator by the same non-zero integer. For example, if you multiply by 2, you get \( \frac{3 \times 2}{4 \times 2} = \frac{6}{8} \). Similarly, multiplying by 3 gives you \( \frac{9}{12} \), and using 4 yields \( \frac{12}{16} \). The possibilities are endless—just keep multiplying by any integer! Another fun way to understand equivalency is through visual representation. If you draw a pizza divided into 4 equal slices and shade in 3 of them, you’ll see that any equivalent fraction would have the same shaded area, just divided differently—for example, if you have a pizza cut into 8 slices, shading in 6 of them shows the same amount (equivalent to \( \frac{3}{4} \)). This makes it easier to visualize!

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