To simplify and solve \( \frac{5}{4} \times 3 \):
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Convert 3 to a fraction. It can be written as \( \frac{3}{1} \).
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Multiply the fractions: \[ \frac{5}{4} \times \frac{3}{1} = \frac{5 \times 3}{4 \times 1} = \frac{15}{4}. \]
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To express \( \frac{15}{4} \) as a mixed number, divide 15 by 4:
- 15 divided by 4 is 3 with a remainder of 3.
- So, \( \frac{15}{4} = 3 \frac{3}{4} \).
Thus, \( \frac{5}{4} \times 3 = \frac{15}{4} \) or \( 3 \frac{3}{4} \).