Question

write $3\frac{4}{5}$ as an improper fraction.

Explanation:

Step1: Recall the formula for converting mixed numbers to improper fractions.

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 \( 3\frac{4}{5} \).

Here, \( a = 3 \), \( b = 4 \), and \( c = 5 \).

Step3: Apply the formula.

First, calculate \( a\times c + b \):
\( 3\times5 + 4 = 15 + 4 = 19 \).
Then, the improper fraction is \( \frac{19}{5} \) (since the denominator \( c \) remains 5).

Answer:

\(\frac{19}{5}\)