Question

write $9\frac{1}{5}$ 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 \( \frac{a\times c + b}{c} \). Here, \( a = 9 \), \( b = 1 \), and \( c = 5 \).

Step2: Apply the formula.

First, calculate \( a\times c \): \( 9\times5 = 45 \). Then add \( b \): \( 45 + 1 = 46 \). The denominator remains \( c = 5 \). So the improper fraction is \( \frac{46}{5} \).

Answer:

\(\frac{46}{5}\)