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$Simplify the following fraction: (40)/(42) Answer:$

Simplify the following fraction: $\frac{40}{42}$ $\newline$ Answer:

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Multiplication with rational exponents

Full solution

Q. Simplify the following fraction:

\frac{40}{42}

\newline

Answer:

Identify GCD: Identify the greatest common divisor (GCD) of the numerator and the denominator. $\newline$ The GCD of $40$ and $42$ is $2$ , because $2$ is the largest number that divides both $40$ and $42$ without leaving a remainder.
Divide by GCD: Divide both the numerator and the denominator by the GCD to simplify the fraction. $\newline$ $(40 \div 2) / (42 \div 2) = 20 / 21$
Check for further simplification: Check if the fraction can be simplified further. $\newline$ Since there is no number greater than $1$ that divides both $20$ and $21$ , the fraction is now in its simplest form.

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