Question
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4. \( 1 \frac{1}{3} \times \frac{1}{6}= \)

Ask by Lambert Frank. in the United States
Mar 10,2025

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Tutor-Verified Answer

Answer

The result is \( \frac{2}{9} \).

Solution

1. Convert the mixed number \( 1 \frac{1}{3} \) to an improper fraction: \[ 1 \frac{1}{3} = \frac{3 \times 1 + 1}{3} = \frac{4}{3} \] 2. Multiply the fractions: \[ \frac{4}{3} \times \frac{1}{6} = \frac{4 \times 1}{3 \times 6} = \frac{4}{18} \] 3. Simplify the resulting fraction by dividing the numerator and the denominator by their greatest common divisor, which is 2: \[ \frac{4}{18} = \frac{4 \div 2}{18 \div 2} = \frac{2}{9} \]

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Beyond the Answer

To solve \( 1 \frac{1}{3} \times \frac{1}{6} \), first convert the mixed number into an improper fraction. \( 1 \frac{1}{3} = \frac{4}{3} \). Now, multiply it by \( \frac{1}{6} \). That gives us \( \frac{4}{3} \times \frac{1}{6} = \frac{4 \times 1}{3 \times 6} = \frac{4}{18} \). Simplifying \( \frac{4}{18} \) results in \( \frac{2}{9} \). Additionally, multiplying fractions is as easy as pie! Just multiply the tops (numerators) and then the bottoms (denominators). But make sure to simplify when you can, because who wants to deal with overly complicated fractions? If you’re ever stumped, check your work by using a visual method like drawing a grid or pie chart. It can help to see the relationships between your numbers, making complex multiplication easier to grasp. Just remember, fractions can sometimes look scarier than they really are!

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