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$Simplify the following fraction: (14)/(77) Answer:$

Simplify the following fraction: $\frac{14}{77}$ $\newline$ Answer:

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Evaluate rational exponents

Full solution

Q. Simplify the following fraction:

\frac{14}{77}

\newline

Answer:

Identify GCD: Identify the greatest common divisor (GCD) of the numerator and the denominator. $\newline$ The numerator is $14$ and the denominator is $77$ . We need to find the largest number that divides both $14$ and $77$ without leaving a remainder. $\newline$ GCD of $14$ and $77$ is $7$ .
Divide by GCD: Divide both the numerator and the denominator by the GCD to simplify the fraction. $\newline$ $(14 \div 7) / (77 \div 7) = 2 / 11$
Check for further simplification: Check if the fraction can be simplified further. $\newline$ Since $2$ and $11$ have no common divisors other than $1$ , the fraction is in its simplest form.

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