Learn How to Simplify the Fraction 46/109 using the GCD and Euclidean Algorithm

46/109

To simplify the fraction 46/109, you need to find the greatest common divisor (GCD) of the numerator (46) and the denominator (109) and then divide both the numerator and denominator by this GCD

To simplify the fraction 46/109, you need to find the greatest common divisor (GCD) of the numerator (46) and the denominator (109) and then divide both the numerator and denominator by this GCD.

To find the GCD, you can use the Euclidean algorithm. Start by dividing the larger number (109) by the smaller number (46). The remainder is 17.

Next, divide the previous divisor (46) by the remainder (17). The new remainder is 12.

Continue dividing the current divisor (17) by the current remainder (12) until you reach a remainder of 0. The last divisor used in the calculation is the GCD: 1.

Now that you have found the GCD, divide both the numerator (46) and the denominator (109) by 1. This does not change their value. Therefore, the simplified fraction is:

46/109 = 46/109

Hence, 46/109 cannot be further simplified.

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