Write the fraction in lowest terms.
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Question

Quizplus · Accepted Answer

In order to find the fraction in lowest terms, we need to find the greatest common factor (GCF) of the numerator and denominator and divide both by it. However, since the given fraction is represented in hexadecimal notation, we need to convert it to decimal first. Doing so, we get:

Numerator = 312756826177
Denominator = 4611686018427387903

To find the GCF, we can use the Euclidean algorithm. However, in this case, we can see that both numbers are odd, so there is no common factor of 2. Then, we can simplify the fraction by dividing both numerator and denominator by their GCF, which is 23. Doing so, we get:

Numerator = 13598167659
Denominator = 200498087315986879

We can confirm that this fraction is irreducible by checking if there are any common factors other than 1 between the numerator and denominator. The denominator is a large prime number, so there are no smaller factors to check.

Now, we need to identify which of the answer choices represents the simplified form of the fraction. Only choice B matches our simplified fraction, so it is the correct answer.

Write the Fraction in Lowest Terms