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$Evaluate the expression shown below and write your answer as a fraction in simplest form. (1)/(10)-(9)/(20) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $\frac{1}{10}-\frac{9}{20}$ $\newline$ 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{1}{10}-\frac{9}{20}

\newline

Answer:

Find Common Denominator: Find a common denominator for the fractions $(\frac{1}{10})$ and $(\frac{9}{20})$ . $\newline$ The least common denominator (LCD) for $10$ and $20$ is $20$ .
Convert to Common Denominator: Convert the fraction $(\frac{1}{10})$ to have the common denominator of $20$ . $\newline$ To do this, multiply both the numerator and the denominator by $2$ . $\newline$ $(\frac{1}{10}) \times (\frac{2}{2}) = (\frac{2}{20})$
Subtract Fractions: Now that both fractions have the same denominator, subtract the second fraction from the first. $(\frac{2}{20}) - (\frac{9}{20}) = \frac{2 - 9}{20}$
Perform Subtraction: Perform the subtraction in the numerator. $\newline$ $2 - 9 = -7$ $\newline$ So, $(2 - 9)/20 = (-7)/20$
Check for Simplification: Check if the fraction $(-\frac{7}{20})$ can be simplified further. $\newline$ Since $7$ and $20$ have no common factors other than $1$ , the fraction is already in its simplest form.

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