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Bonus Knowledge
To solve \( 2 \frac{5}{6} \times 1 \frac{3}{5} \), first convert the mixed numbers into improper fractions. For \( 2 \frac{5}{6} \): \[ 2 \frac{5}{6} = 2 \times 6 + 5 = 12 + 5 = \frac{17}{6} \] For \( 1 \frac{3}{5} \): \[ 1 \frac{3}{5} = 1 \times 5 + 3 = 5 + 3 = \frac{8}{5} \] Now, multiply the two improper fractions: \[ \frac{17}{6} \times \frac{8}{5} = \frac{17 \times 8}{6 \times 5} = \frac{136}{30} \] Now simplify \( \frac{136}{30} \): Both the numerator and denominator can be divided by 2: \[ \frac{136 \div 2}{30 \div 2} = \frac{68}{15} \] Thus, the final answer is: \[ 4 \frac{8}{15} \] This gives us a neat mix of whole numbers and fractions, just like a delicious slice of cake with icing! If you’re ever unsure when multiplying fractions, take a step back and remember: just turn those mixed numbers into improper fractions, multiply across, and then simplify! And when simplifying, always check for common factors to make your work tidier.
