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$Evaluate the expression shown below and write your answer as a fraction in simplest form. (9)/(5)-(9)/(50) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $\frac{9}{5}-\frac{9}{50}$ $\newline$ Answer:

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Roots of rational numbers

Full solution

Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.

\newline

\frac{9}{5}-\frac{9}{50}

\newline

Answer:

Identify Common Denominator: Identify a common denominator for the fractions $(\frac{9}{5})$ and $(\frac{9}{50})$ . $\newline$ The common denominator for $5$ and $50$ is $50$ .
Convert First Fraction: Convert the first fraction $(\frac{9}{5})$ to have the common denominator of $50$ . To do this, multiply both the numerator and the denominator by $10$ . $(\frac{9}{5}) \times (\frac{10}{10}) = (\frac{9\times10}{5\times10}) = \frac{90}{50}$
Subtract Fractions: Now that both fractions have the same denominator, subtract the second fraction from the first. $(\frac{90}{50}) - (\frac{9}{50}) = \frac{90 - 9}{50}$
Perform Numerator Subtraction: Perform the subtraction in the numerator. $\newline$ $90 - 9 = 81$ $\newline$ So, $(90 - 9)/50 = 81/50$
Check Fraction Simplification: Check if the fraction $\frac{81}{50}$ can be simplified. $\newline$ Since $81$ and $50$ have no common factors other than $1$ , the fraction is already in its simplest form.

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