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# Find the simplest form of $\dfrac{69}{92}$.

Last updated date: 18th Jun 2024
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Hint: Assume the simplest form of the given fraction as ‘E’. Now, use the method of prime factorization to write the numbers present in the numerator and denominator as the product of their prime factors. Check if there are any common factors or not, if there are common factors then cancel them and take the product of remaining factors to get the answer. If there are no common factors then we will say that we will say that the given fraction is already in simplified form.

Here, we have been provided with the fraction $\dfrac{69}{92}$ and we are asked to write it in its simplest form. That means we have to cancel the common factors of both the numerator and denominator if present. To find whether they have common factors or not we use the prime factorization method to write the numbers as a product of their primes.
Let us come to our question, we have the fraction $\dfrac{69}{92}$. Let us assume this fraction ass E, so we have,
$\Rightarrow E=\dfrac{69}{92}$
Here, the numerator 69 can be written as $69=3\times 23$ as the product of its prime factors. Also, the denominator 92 can be written as $92=2\times 2\times 23$ as the product of its primes. So, we have,
$\Rightarrow E=\dfrac{3\times 23}{2\times 2\times 23}$
$\Rightarrow E=\dfrac{3}{2\times 2}$
$\Rightarrow E=\dfrac{3}{4}$
Hence, $\dfrac{3}{4}$ is the simplified form of the given expression.