Question

write $3\frac{1}{9}$ as an improper fraction.

Explanation:

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

Step2: Identify the values of \( a \), \( b \), and \( c \) from the given mixed number \( 3\frac{1}{9} \). Here, \( a = 3 \), \( b = 1 \), and \( c = 9 \).

Step3: Apply the formula. Calculate \( a\times c + b \): \( 3\times9 + 1 = 27 + 1 = 28 \). The denominator \( c \) remains 9. So the improper fraction is \( \frac{28}{9} \).

Answer:

\(\frac{28}{9}\)