Question

write 10 \\(\frac{1}{2}\\) as an improper fraction.

Explanation:

Step1: Recall the formula for converting a mixed number to an improper fraction. The formula is \( a\frac{b}{c}=\frac{a\times c + b}{c} \), where \( a \) is the whole number, \( b \) is the numerator of the fractional part, and \( c \) is the denominator of the fractional part.

In the mixed number \( 10\frac{1}{2} \), \( a = 10 \), \( b = 1 \), and \( c = 2 \).

Step2: Apply the formula. Calculate \( a\times c + b \): \( 10\times2 + 1 = 20 + 1 = 21 \). The denominator remains \( c = 2 \). So the improper fraction is \( \frac{21}{2} \).

Answer:

\(\frac{21}{2}\)