(c) \( 3 \frac{1}{3} \times 2 \frac{2}{5} \)
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To calculate \( 3 \frac{1}{3} \times 2 \frac{2}{5} \), first convert the mixed numbers to improper fractions. So, \( 3 \frac{1}{3} = \frac{10}{3} \) and \( 2 \frac{2}{5} = \frac{12}{5} \). Now, multiply the fractions: \[ \frac{10}{3} \times \frac{12}{5} = \frac{10 \times 12}{3 \times 5} = \frac{120}{15} = 8. \] Thus, \( 3 \frac{1}{3} \times 2 \frac{2}{5} = 8 \). If you're ever confused about converting mixed numbers, remember the formula: multiply the whole number by the denominator and add the numerator, then keep the denominator the same! It’s an easy-peasy way to convert without losing your mind over fractions! When dealing with fractions, a common mistake is forgetting to simplify at the end. Always check if your answer can be reduced! For this example, we arrived at 8 without needing to simplify further, but it’s a good habit to keep your eyes peeled for any potential reductions!