Math

QuestionSimplify the fraction 3946\frac{39}{46} or state if it is already simplified.

Studdy Solution

STEP 1

Assumptions1. We are given the fraction 3946\frac{39}{46}. . We need to simplify this fraction if possible.

STEP 2

To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD is the largest number that divides both numbers without leaving a remainder.

STEP 3

First, let's find the factors of39 and46. Factors of a number are numbers that divide evenly into that number.
The factors of39 are1,3,13,39.
The factors of46 are1,2,23,46.

STEP 4

Now, let's find the common factors of39 and46. The common factors are the numbers that are factors of both39 and46.
The common factors of39 and46 are1.

STEP 5

The greatest common divisor (GCD) is the largest of the common factors. In this case, the GCD of39 and46 is1.

STEP 6

Since the GCD is1, the fraction 3946\frac{39}{46} is already in its simplest form.Therefore, the correct choice is B. The expression cannot be simplified.

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