Questions: Multiply. Write your answer as a mixed number in simplest form. 4 times 2 9/10

Multiply. Write your answer as a mixed number in simplest form.
4 times 2 9/10
Transcript text: Multiply. Write your answer as a mixed number in simplest form. \[ 4 \times 2 \frac{9}{10} \]
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Solution

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Solution Steps

Step 1: Convert the Mixed Number to an Improper Fraction

First, convert the mixed number \(2 \frac{9}{10}\) to an improper fraction.
\[ 2 \frac{9}{10} = \frac{2 \times 10 + 9}{10} = \frac{29}{10} \]

Step 2: Multiply the Whole Number by the Improper Fraction

Multiply the whole number \(4\) by the improper fraction \(\frac{29}{10}\).
\[ 4 \times \frac{29}{10} = \frac{4 \times 29}{10} = \frac{116}{10} \]

Step 3: Simplify the Fraction to a Mixed Number

Simplify \(\frac{116}{10}\) to a mixed number.
\[ \frac{116}{10} = 11 \frac{6}{10} = 11 \frac{3}{5} \]

Final Answer

\[ \boxed{11 \frac{3}{5}} \]

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