can the fraction 104/117 be reduced or simplified?
Yes, both top and bottom are divisible by 13
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To determine if the fraction 104/117 can be reduced or simplified, we need to find the greatest common divisor (GCD) of the numerator (104) and the denominator (117). The GCD is the largest number that divides both the numerator and the denominator without leaving a remainder.
To find the GCD of 104 and 117, we can use the Euclidean algorithm:
1. Divide the larger number (117) by the smaller number (104) to get the quotient and remainder: 117 ÷ 104 = 1 remainder 13.
2. Now, divide the previous divisor (104) by the remainder (13): 104 ÷ 13 = 8 remainder 0.
Since the remainder is 0, we have found that the GCD of 104 and 117 is 13.
If the GCD is greater than 1, it means that the fraction can be simplified. In this case, since the GCD is 13, we can simplify the fraction 104/117 by dividing both the numerator and the denominator by 13:
104 ÷ 13 = 8 and 117 ÷ 13 = 9.
Therefore, the simplified form of the fraction 104/117 is 8/9.