(c) 3(1)/(2)×2(1)/(4)

Convert to Improper Fractions: Convert mixed numbers to improper fractions. 3(1)/(2) can be converted to an improper fraction by multiplying the whole number 3 by the denominator 2 and adding the numerator 1, which gives us 3*2 + 1 = 7, so 3(1)/(2) becomes 7/2. 2(1)/(4) can be converted to an improper fraction by multiplying the whole number 2 by the denominator 4 and adding the numerator 1, which gives us 2*4 + 1 = 9, so 2(1)/(4) becomes 9/4.Multiply Fractions: Multiply the improper fractions. Now we multiply the numerators together and the denominators together. (7/2) × (9/4) = (7×9) / (2×4) = 63 / 8Simplify Fraction: Simplify the fraction if possible. 63/8 is already in its simplest form because 63 and 8 have no common factors other than 1.

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(c) $3 \frac{1}{2} \times 2 \frac{1}{4}$

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Q. (c)

3 \frac{1}{2} \times 2 \frac{1}{4}

Convert to Improper Fractions: Convert mixed numbers to improper fractions. $\newline$ $3\frac{1}{2}$ can be converted to an improper fraction by multiplying the whole number $3$ by the denominator $2$ and adding the numerator $1$ , which gives us $3\times 2 + 1 = 7$ , so $3\frac{1}{2}$ becomes $\frac{7}{2}$ . $\newline$ $2\frac{1}{4}$ can be converted to an improper fraction by multiplying the whole number $2$ by the denominator $4$ and adding the numerator $1$ , which gives us $3$ $1$ , so $2\frac{1}{4}$ becomes $3$ $3$ .
Multiply Fractions: Multiply the improper fractions. $\newline$ Now we multiply the numerators together and the denominators together. $\newline$ $(\frac{7}{2}) \times (\frac{9}{4}) = (\frac{7\times9}{2\times4}) = \frac{63}{8}$
Simplify Fraction: Simplify the fraction if possible. $63/8$ is already in its simplest form because $63$ and $8$ have no common factors other than $1$ .