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$Simplify the following fraction: (22)/(64) Answer:$

Simplify the following fraction: $\frac{22}{64}$ $\newline$ Answer:

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Multiplication with rational exponents

Full solution

Q. Simplify the following fraction:

\frac{22}{64}

\newline

Answer:

Identify GCD: Identify the greatest common divisor (GCD) of the numerator and the denominator. $\newline$ The GCD of $22$ and $64$ is $2$ , because $2$ is the largest number that divides both $22$ and $64$ without leaving a remainder.
Divide by GCD: Divide both the numerator and the denominator by the GCD to simplify the fraction. $\newline$ $22 \div 2 = 11$ $\newline$ $64 \div 2 = 32$ $\newline$ So, $\frac{22}{64}$ simplifies to $\frac{11}{32}$ .
Check for further simplification: Check if the fraction can be simplified further. $\newline$ The numbers $11$ and $32$ do not have any common divisors other than $1$ , so the fraction is in its simplest form.

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