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4) \( \frac{2}{3} \div \frac{3}{4}= \)

Ask by Marshall Powell. in the United States
Jan 23,2025

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\[ \frac{2}{3} \div \frac{3}{4} = \frac{8}{9} \]

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The Deep Dive

To divide fractions, you can multiply by the reciprocal of the second fraction. So, \( \frac{2}{3} \div \frac{3}{4} \) becomes \( \frac{2}{3} \times \frac{4}{3} \). Multiply the numerators: \( 2 \times 4 = 8 \), and the denominators: \( 3 \times 3 = 9 \). Therefore, \( \frac{2}{3} \div \frac{3}{4} = \frac{8}{9} \). A common mistake in dividing fractions is forgetting to flip the second fraction. Remember, it’s all about the reciprocal! If you just try to divide the numbers directly, you may end up with confusing results. So, always flip and multiply for success!

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