To solve the equation \( 2 \frac{3}{5} \times 2 \frac{1}{3} \), we first convert the mixed numbers to improper fractions.
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Convert \( 2 \frac{3}{5} \): \[ 2 \frac{3}{5} = \frac{2 \times 5 + 3}{5} = \frac{10 + 3}{5} = \frac{13}{5} \]
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Convert \( 2 \frac{1}{3} \): \[ 2 \frac{1}{3} = \frac{2 \times 3 + 1}{3} = \frac{6 + 1}{3} = \frac{7}{3} \]
Now we multiply the two improper fractions: \[ \frac{13}{5} \times \frac{7}{3} = \frac{13 \times 7}{5 \times 3} = \frac{91}{15} \]
Next, we can convert \( \frac{91}{15} \) back to a mixed number.
Dividing 91 by 15:
- 15 goes into 91 a total of 6 times (as \( 15 \times 6 = 90 \)).
- This leaves a remainder of \( 91 - 90 = 1 \).
Thus, \[ \frac{91}{15} = 6 \frac{1}{15} \]
However, since none of the responses provided match this answer directly, let's check if we only need the improper fraction \( \frac{91}{15} \) in the format given in the options.
The equivalent improper fraction is \( \frac{91}{15} \), and if formatted as whole number and fraction components, we'd get \( 6 \frac{1}{15} \) (but this isn't one of your options).
Given the numbers offered in your options, the closest and most reasonable interpretation would likely be option "9115" as the improper fraction, which corresponds more to \( \frac{91}{15} \) as improper.
So the answer is: 9115
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