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$5 \frac{1}{4} \times 6$

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Multiply mixed numbers and whole numbers

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Q.

5 \frac{1}{4} \times 6

Convert to Improper Fraction: Convert the mixed number to an improper fraction. $\newline$ To convert $5 \frac{1}{4}$ to an improper fraction, multiply the whole number by the denominator and add the numerator. Then place the result over the original denominator. $\newline$ $5 \frac{1}{4} = (5 \times 4 + 1) / 4 = (20 + 1) / 4 = \frac{21}{4}$
Multiply by Whole Number: Multiply the improper fraction by the whole number. $\newline$ Now, multiply the improper fraction $\frac{21}{4}$ by the whole number $6$ . $\newline$ $(\frac{21}{4}) \times 6 = \frac{21 \times 6}{4}$
Perform Multiplication: Perform the multiplication. $\newline$ Calculate the product of $21$ and $6$ . $\newline$ $21 \times 6 = 126$
Divide by Denominator: Divide the product by the denominator. $\newline$ Now, divide $126$ by $4$ to get the final answer. $\newline$ $126 / 4 = 31$ with a remainder of $2$ , or $31 \frac{2}{4}$ , which can be simplified to $31 \frac{1}{2}$ .

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