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4) \( \frac{2}{10}-2 \frac{3}{10}= \) 6) \( 7 \frac{1}{3}-4 \frac{2}{3}= \)

Ask by Garrett Delgado. in the United States
Mar 12,2025

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Problem 4: \( \frac{2}{10} - 2 \frac{3}{10} = -\frac{21}{10} \) or \( -2 \frac{1}{10} \) Problem 6: \( 7 \frac{1}{3} - 4 \frac{2}{3} = \frac{8}{3} \) or \( 2 \frac{2}{3} \)

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Sure! Let's break these down in a fun way. For the first problem, \( \frac{2}{10}-2 \frac{3}{10} = \frac{2}{10}-\frac{23}{10} = -\frac{21}{10} = -2 \frac{1}{10} \). So you end up with a negative fraction, which might make you think about how cool negative numbers can be! They’re not just for math class; they’re used to represent things like debt or temperature drops. On to the second problem, \( 7 \frac{1}{3}-4 \frac{2}{3} \). First, convert to improper fractions: \( 7 \frac{1}{3} \) becomes \( \frac{22}{3} \) and \( 4 \frac{2}{3} \) becomes \( \frac{14}{3} \). Now, subtract: \( \frac{22}{3} - \frac{14}{3} = \frac{8}{3} \). Interestingly, negative and improper fractions have applications in everyday life, like calculating time differences or adjusting recipes! How fun is that?

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