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$Convert 9(1)/(9) into an improper fraction. Answer:$

Convert $9 \frac{1}{9}$ into an improper fraction. $\newline$ Answer:

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Multiplication with rational exponents

Full solution

Q. Convert

9 \frac{1}{9}

into an improper fraction.

\newline

Answer:

Understand mixed number: Understand the mixed number. $\newline$ The mixed number $9\left(\frac{1}{9}\right)$ consists of a whole number $9$ and a fraction $\left(\frac{1}{9}\right)$ .
Convert whole number to fraction: Convert the whole number to a fraction. $\newline$ To convert the whole number $9$ to a fraction, we multiply it by the denominator of the fractional part, which is $9$ . So, $9 \times 9 = 81$ . This gives us the fraction $(81)/(9)$ .
Add fractional part: Add the fractional part to the converted whole number. $\newline$ Now we add the fraction $(1)/(9)$ to the fraction $(81)/(9)$ to get the improper fraction. So, $(81)/(9) + (1)/(9) = (81 + 1)/(9)$ .
Perform addition: Perform the addition. $\newline$ Adding the numerators, we get $(81 + 1)/(9) = (82)/(9)$ .
Check for simplification: Check for any possible simplification. $\newline$ The fraction $(82)/(9)$ cannot be simplified further as $82$ and $9$ have no common factors other than $1$ .

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