The expression \( \frac{3}{4} \times 3 \) means to multiply \( \frac{3}{4} \) by 3.
When you multiply a fraction by a whole number, you can think of it as taking that fraction of the whole number. In this case:
\[ \frac{3}{4} \times 3 = \frac{3 \times 3}{4} = \frac{9}{4} = 2.25 \]
So, \( \frac{3}{4} \times 3 \) is equal to \( \frac{9}{4} \) or 2.25.
The phrase "3/4 of 3" also means the same thing, so \( \frac{3}{4} \) of 3 is indeed \( 2.25 \).
On the other hand, the expression \( 3 \times \frac{3}{4} \) means the same calculation:
\[ 3 \times \frac{3}{4} = \frac{3 \times 3}{4} = \frac{9}{4} = 2.25 \]
Thus, both expressions, \( \frac{3}{4} \times 3 \) and \( 3 \times \frac{3}{4} \), yield the same result, and they reflect the concept of taking a fraction of a whole number.
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