QuestionJuly 16, 2025

Multiply the following numbers. Reduce the answer to lowest terms. (13)/(2)cdot 4 24(1)/(2) 12(1)/(4) 26 12

Multiply the following numbers. Reduce the answer to lowest terms. (13)/(2)cdot 4 24(1)/(2) 12(1)/(4) 26 12
Multiply the following numbers. Reduce the answer to lowest terms.
(13)/(2)cdot 4
24(1)/(2)
12(1)/(4)
26
12

Solution
4.0(177 votes)

Answer

\frac{4897}{8} Explanation 1. Convert Mixed Numbers to Improper Fractions 24\frac{1}{2} = \frac{49}{2} and 12\frac{1}{4} = \frac{49}{4}. 2. Multiply Fractions \frac{13}{2} \cdot 4 = \frac{13 \times 4}{2} = \frac{52}{2}. 3. Simplify the Fraction \frac{52}{2} = 26. 4. Multiply Whole Numbers 26 \cdot 12 = 312. 5. Multiply Remaining Fraction \frac{49}{2} \cdot \frac{49}{4} = \frac{2401}{8}. 6. Add Results 312 + \frac{2401}{8} = \frac{2496 + 2401}{8} = \frac{4897}{8}. 7. Reduce to Lowest Terms The fraction \frac{4897}{8} is already in its lowest terms.

Explanation

1. Convert Mixed Numbers to Improper Fractions<br /> $24\frac{1}{2} = \frac{49}{2}$ and $12\frac{1}{4} = \frac{49}{4}$.<br /><br />2. Multiply Fractions<br /> $\frac{13}{2} \cdot 4 = \frac{13 \times 4}{2} = \frac{52}{2}$.<br /><br />3. Simplify the Fraction<br /> $\frac{52}{2} = 26$.<br /><br />4. Multiply Whole Numbers<br /> $26 \cdot 12 = 312$.<br /><br />5. Multiply Remaining Fraction<br /> $\frac{49}{2} \cdot \frac{49}{4} = \frac{2401}{8}$.<br /><br />6. Add Results<br /> $312 + \frac{2401}{8} = \frac{2496 + 2401}{8} = \frac{4897}{8}$.<br /><br />7. Reduce to Lowest Terms<br /> The fraction $\frac{4897}{8}$ is already in its lowest terms.
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