Question

7. \( 3 \frac{2}{3} \times \frac{2}{8}= \)

Ask by Mcguire Ford. in the United States
Feb 21,2025

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Tutor-Verified Answer

Answer

The result is \(\frac{11}{12}\) or approximately 0.9166.

Solution

Calculate or simplify the expression \( 3 \frac{2}{3} \times \frac{2}{8} \). Calculate the value by following steps: - step0: Calculate: \(3\frac{2}{3}\times \frac{2}{8}\) - step1: Convert the expressions: \(\frac{11}{3}\times \frac{2}{8}\) - step2: Reduce the fraction: \(\frac{11}{3}\times \frac{1}{4}\) - step3: Multiply the fractions: \(\frac{11}{3\times 4}\) - step4: Multiply: \(\frac{11}{12}\) The result of \(3 \frac{2}{3} \times \frac{2}{8}\) is \(\frac{11}{12}\) or approximately 0.9166.

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To tackle \( 3 \frac{2}{3} \times \frac{2}{8} \), first convert the mixed number into an improper fraction. So, \( 3 \frac{2}{3} \) becomes \( \frac{11}{3} \) (that's \( 3 \times 3 + 2 \)). Now multiply \( \frac{11}{3} \) by \( \frac{2}{8} \) or simplify \( \frac{2}{8} \) to \( \frac{1}{4} \). Thus, \( \frac{11}{3} \times \frac{1}{4} = \frac{11 \times 1}{3 \times 4} = \frac{11}{12} \). So, the answer is \( \frac{11}{12} \). Now, isn't it fun to see how fractions interact like a well-choreographed dance?! They may seem tricky at first, but with a little practice, you'll be spinning those numbers around like a pro! For even more practice, consider creating fun word problems with fractions, like how many pizzas you could order with fraction deals, or split a cake among friends. It's a delicious way to get better at math!

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