46/53
To simplify the fraction 46/53, you need to find the greatest common divisor (GCD) of both numbers and then divide both the numerator and denominator by that common factor
To simplify the fraction 46/53, you need to find the greatest common divisor (GCD) of both numbers and then divide both the numerator and denominator by that common factor.
To find the GCD of 46 and 53, you can use the Euclidean algorithm. Start by dividing 53 by 46:
53 ÷ 46 = 1 remainder 7
Then, divide 46 by the remainder (7):
46 ÷ 7 = 6 remainder 4
Continue dividing until you reach a remainder of 0:
7 ÷ 4 = 1 remainder 3
4 ÷ 3 = 1 remainder 1
3 ÷ 1 = 3 remainder 0
Since we have reached a remainder of 0, the last divisor (1) is the GCD of 46 and 53.
Now, divide both the numerator (46) and denominator (53) by the GCD (1):
46 ÷ 1 = 46
53 ÷ 1 = 53
Therefore, the simplified form of 46/53 is still 46/53 since 1 is the only common factor between them.
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