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Find \(\frac{2}{3}\) of 24 by multiplying \(\frac{2}{3}\) by 24:

\(\frac{2}{3} \times \frac{24}{1} = \frac{48}{3} = 16\)

So: \(\frac{2}{3}\) of 24 = 16

Find \(\frac{3}{4}\) of 20 by multiplying \(\frac{3}{4}\) by 20:

\(\frac{3}{4} \times \frac{20}{1} = \frac{60}{4} = 15\)

So: \(\frac{3}{4}\) of 20 = 15

Compare the answers - 16 is the bigger number, so \(\frac{2}{3}\) of 24 is larger than \(\frac{3}{4}\) of 20.

\(\frac{2}{3}\) of 24 > \(\frac{3}{4}\) of 20

Find \(\frac{2}{3}\) of 24 by first finding \(\frac{1}{3}\) of 24 and then multiplying the answer by 2.

\(\frac{1}{3}\) of 24 = 8 (\(24 \div 3 = 8\)).

\(8 \times 2 = 16\), so \(\frac{2}{3}\) of 24 = 16, no matter which method is used.

Find \(\frac{3}{4}\) of 20 by first finding \(\frac{1}{4}\) of 20, then multiplying the answer by 3.

\(\frac{1}{4}\) of 20 = 5 (\(20 \div 4 = 5\)). \(5 \times 3 = 15\), so \(\frac{3}{4}\) of 20 = 15.

Compare the answers - 16 is the bigger number, so \(\frac{2}{3}\) of 24 is larger than \(\frac{3}{4}\) of 20.

\(\frac{2}{3}\) of 24 > \(\frac{3}{4}\) of 20