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$Evaluate the expression shown below and write your answer as a fraction in simplest form. (11)/(16)-(3)/(20) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $\frac{11}{16}-\frac{3}{20}$ $\newline$ 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{11}{16}-\frac{3}{20}

\newline

Answer:

Find common denominator: Find a common denominator for the fractions $(\frac{11}{16})$ and $(\frac{3}{20})$ . $\newline$ The least common multiple (LCM) of $16$ and $20$ is $80$ , so we will use $80$ as the common denominator.
Convert to equivalent fractions: Convert each fraction to an equivalent fraction with the common denominator of $80$ . For $(\frac{11}{16})$ , we multiply the numerator and denominator by $5$ to get $(\frac{11\times 5}{16\times 5}) = \frac{55}{80}$ . For $(\frac{3}{20})$ , we multiply the numerator and denominator by $4$ to get $(\frac{3\times 4}{20\times 4}) = \frac{12}{80}$ .
Subtract fractions: Subtract the two fractions with the common denominator. $\newline$ $(\frac{55}{80}) - (\frac{12}{80}) = (\frac{55 - 12}{80}) = \frac{43}{80}$ .
Check for simplification: Check if the resulting fraction can be simplified. $\newline$ The numerator $43$ and the denominator $80$ have no common factors other than $1$ , so the fraction is already in its simplest form.

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