12. \( 1 \frac{24}{25} \times 1 \frac{3}{25}= \)
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To tackle this problem, let's first convert the mixed numbers into improper fractions. For \(1 \frac{24}{25}\), we multiply 1 by 25 and add 24, giving us \(\frac{49}{25}\). For \(1 \frac{3}{25}\), we do the same: \(1 \times 25 + 3 = \frac{28}{25}\). Now we multiply the two fractions: \[ \frac{49}{25} \times \frac{28}{25} = \frac{49 \times 28}{25 \times 25} = \frac{1372}{625}. \] Now, we can convert back to a mixed number. Dividing 1372 by 625 gives us approximately 2.1952, so the mixed number is \(2 \frac{122}{625}\). Thus, the answer is: \( 1 \frac{24}{25} \times 1 \frac{3}{25}= 2 \frac{122}{625} \).