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$Simplify the following fraction: (27)/(66) Answer:$

Simplify the following fraction: $\frac{27}{66}$ $\newline$ Answer:

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Multiplication with rational exponents

Full solution

Q. Simplify the following fraction:

\frac{27}{66}

\newline

Answer:

Identify GCD: Identify the greatest common divisor (GCD) of the numerator ( $27$ ) and the denominator ( $66$ ). $\newline$ To simplify a fraction, we need to divide both the numerator and the denominator by their greatest common divisor. The GCD of $27$ and $66$ is $3$ .
Divide by GCD: Divide the numerator and the denominator by the GCD. $\text{Divide } 27 \text{ by } 3 \text{ to get } 9.$ $\text{Divide } 66 \text{ by } 3 \text{ to get } 22.$ So, $\frac{27}{66}$ simplifies to $\frac{9}{22}$ .
Check for Further Simplification: Check if the fraction can be simplified further. The numbers $9$ and $22$ do not have any common divisors other than $1$ , so the fraction is fully simplified.

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