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$Convert 3(7)/(9) into an improper fraction. Answer:$

Convert $3 \frac{7}{9}$ into an improper fraction. $\newline$ Answer:

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Multiplication with rational exponents

Full solution

Q. Convert

3 \frac{7}{9}

into an improper fraction.

\newline

Answer:

Understand mixed number: Understand the mixed number. $\newline$ The mixed number $3\left(\frac{7}{9}\right)$ consists of a whole number $3$ and a fraction $\left(\frac{7}{9}\right)$ .
Convert whole number to fraction: Convert the whole number to a fraction. $\newline$ To convert the whole number $3$ to a fraction with the same denominator as $\frac{7}{9}$ , multiply it by $\frac{9}{9}$ which is equal to $1$ . $\newline$ $3 \times \frac{9}{9} = \frac{27}{9}$
Add whole number fraction: Add the whole number fraction to the original fraction. $\newline$ Now, add the fraction we got from the whole number to the original fraction part of the mixed number. $\newline$ $(27)/(9) + (7)/(9) = (27 + 7)/(9)$
Perform addition: Perform the addition. $\newline$ Add the numerators of the fractions. $\newline$ $(27 + 7)/(9) = (34)/(9)$
Check for simplification: Check for any possible simplification. $\newline$ The fraction $(34)/(9)$ cannot be simplified further as $34$ and $9$ have no common factors other than $1$ .

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