Question
Find the product. \( 3 \frac{2}{3} \times \frac{2}{5}=[?] \) Give your answer as a mixed number in simplest form. Enter the whole number.
Ask by Clarke Simmons. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The whole number part is 1.
Solution
To find the product of \( 3 \frac{2}{3} \times \frac{2}{5} \):
1. **Convert the mixed number to an improper fraction:**
\[
3 \frac{2}{3} = \frac{11}{3}
\]
2. **Multiply the fractions:**
\[
\frac{11}{3} \times \frac{2}{5} = \frac{22}{15}
\]
3. **Convert the improper fraction back to a mixed number:**
\[
\frac{22}{15} = 1 \frac{7}{15}
\]
The whole number part of the mixed number is **1**.
**Answer:**
1
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Simplify this solution Beyond the Answer
To find the product \( 3 \frac{2}{3} \times \frac{2}{5} \), first convert the mixed number to an improper fraction. \( 3 \frac{2}{3} \) can be rewritten as \( \frac{11}{3} \) (since \( 3 \times 3 + 2 = 11 \)). Now, multiply this by \( \frac{2}{5} \): \[ \frac{11}{3} \times \frac{2}{5} = \frac{22}{15} \] Now, convert \( \frac{22}{15} \) back to a mixed number. Divide 22 by 15, which equals 1 with a remainder of 7. So, \( \frac{22}{15} = 1 \frac{7}{15} \). Thus, the answer is: 1
