116/121
To simplify the expression 116/121, we need to find the greatest common divisor (GCD) of the numerator and denominator, and then divide both numbers by the GCD
To simplify the expression 116/121, we need to find the greatest common divisor (GCD) of the numerator and denominator, and then divide both numbers by the GCD.
To find the GCD of 116 and 121, we can use the Euclidean algorithm. By repeatedly dividing the larger number by the smaller number and taking the remainder, we can find the GCD.
Step 1: Divide 121 by 116. The remainder is 5.
Step 2: Divide 116 by 5. The remainder is 1.
Step 3: Divide 5 by 1. The remainder is 0.
Since we have a remainder of 0, the GCD of 116 and 121 is 1.
Now, we divide both the numerator and denominator by the GCD (which is 1):
116 ÷ 1 = 116
121 ÷ 1 = 121
Therefore, the simplified form of 116/121 is 116/121.
Note: If the GCD was any number other than 1, we would have divided both the numerator and denominator by that number to simplify the fraction further. But in this case, the fraction is already in its simplest form.
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