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$Convert 4(4)/(9) into an improper fraction. Answer:$

Convert $4 \frac{4}{9}$ into an improper fraction. $\newline$ Answer:

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Multiplication with rational exponents

Full solution

Q. Convert

4 \frac{4}{9}

into an improper fraction.

\newline

Answer:

Understand the mixed number: Understand the mixed number. $\newline$ The mixed number $4\frac{4}{9}$ consists of a whole number $4$ and a fraction $\frac{4}{9}$ .
Convert whole number to fraction: Convert the whole number to a fraction. $\newline$ To convert the whole number $4$ to a fraction with the same denominator as $\frac{4}{9}$ , multiply $4$ by $\frac{9}{9}$ to get $\frac{36}{9}$ .
Add whole number fraction: Add the whole number fraction to the fractional part. $\newline$ Now, add the fraction $(36)/(9)$ to the fraction $(4)/(9)$ to get the improper fraction. $\newline$ $(36)/(9) + (4)/(9) = (36 + 4)/(9)$
Perform addition: Perform the addition. $\newline$ Add the numerators $36$ and $4$ to get $40$ . $\newline$ $(36 + 4)/(9) = (40)/(9)$
Write final answer: Write the final answer. $\newline$ The improper fraction of the mixed number $4\frac{4}{9}$ is $\frac{40}{9}$ .

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