116/121
To simplify the fraction 116/121, we need to find the greatest common divisor (GCD) of the numerator (116) and the denominator (121)
To simplify the fraction 116/121, we need to find the greatest common divisor (GCD) of the numerator (116) and the denominator (121). Then, we can divide both the numerator and the denominator by the GCD to reduce the fraction.
To find the GCD of 116 and 121, we can use the Euclidean algorithm. We start by dividing the larger number (121) by the smaller number (116):
121 ÷ 116 = 1 remainder 5
Next, we divide the previous dividend (116) by the remainder (5):
116 ÷ 5 = 23 remainder 1
Since we obtained a remainder of 1, we continue dividing the previous divisor (5) by the remainder (1):
5 ÷ 1 = 5
Now, we have obtained a remainder of 0, which means that the GCD of 116 and 121 is 1.
To simplify the fraction 116/121, we divide both the numerator and the denominator by 1:
116 ÷ 1 = 116
121 ÷ 1 = 121
Therefore, the simplified form of 116/121 is 116/121.
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