116/121
To simplify the fraction 116/121, we will look for the greatest common divisor (GCD) between the numerator and the denominator
To simplify the fraction 116/121, we will look for the greatest common divisor (GCD) between the numerator and the denominator.
To find the GCD, we can use the Euclidean algorithm. Here’s how it works:
1. Divide 121 by 116.
121 ÷ 116 = 1 remainder 5
2. Since there is a remainder (5), we will use this remainder as the new dividend and divide it by the previous divisor.
116 ÷ 5 = 23 remainder 1
3. Again, there is a remainder (1), so we continue dividing.
5 ÷ 1 = 5 remainder 0
The final divisor before reaching a remainder of 0 is 1, which means that the GCD of 116 and 121 is 1.
Now, to simplify the fraction, we can divide both the numerator and the denominator by their GCD.
116 ÷ 1 = 116
121 ÷ 1 = 121
Therefore, the simplified fraction of 116/121 is simply 116/121.
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