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$Evaluate the expression shown below and write your answer as a fraction in simplest form. (1)/(8)-(1)/(12) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $\frac{1}{8}-\frac{1}{12}$ $\newline$ 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}{8}-\frac{1}{12}

\newline

Answer:

Find Common Denominator: Find a common denominator for the fractions $\frac{1}{8}$ and $\frac{1}{12}$ . The least common multiple (LCM) of $8$ and $12$ is $24$ , so the common denominator will be $24$ .
Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with the common denominator of $24$ . For $\frac{1}{8}$ , multiply the numerator and denominator by $3$ to get $\frac{3}{24}$ . For $\frac{1}{12}$ , multiply the numerator and denominator by $2$ to get $\frac{2}{24}$ .
Subtract Fractions: Subtract the two fractions with the common denominator. $\newline$ $(\frac{3}{24}) - (\frac{2}{24}) = (\frac{3 - 2}{24}) = \frac{1}{24}$
Check for Simplification: Check if the resulting fraction can be simplified further. $\newline$ Since $1$ is the numerator and there are no common factors between $1$ and $24$ , the fraction is already in its simplest form.

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