Problem

c) $\frac{5}{9} \times \frac{5}{10} \times \frac{9}{5}$
d) $3 \frac{3}{11} \times 33$

Answer

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Answer

Convert the result back to a mixed number: \(\frac{1188}{11}\) = \(\boxed{108}\)

Steps

Step 1 :For question c, multiply the fractions: \(\frac{5}{9} \times \frac{5}{10} \times \frac{9}{5}\) = \(\frac{225}{450}\)

Step 2 :Simplify the fraction: \(\frac{225}{450}\) = \(\boxed{\frac{1}{2}}\)

Step 3 :For question d, convert the mixed number to an improper fraction: \(3 \frac{3}{11}\) = \(\frac{36}{11}\)

Step 4 :Multiply the improper fraction by the whole number: \(\frac{36}{11} \times 33\) = \(\frac{1188}{11}\)

Step 5 :Convert the result back to a mixed number: \(\frac{1188}{11}\) = \(\boxed{108}\)

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