Find the GCF of the numerator and denominator of the fraction 615 , and simplify it.(1 point)
Responses
25
Start Fraction 2 over 5 End Fraction
215
Start Fraction 2 over 15 End Fraction
1845
Start Fraction 18 over 45 End Fraction
65
Start Fraction 6 over 5 End Fraction
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To find the Greatest Common Factor (GCF) of the numerator and denominator of a fraction, we need to find the largest number that can divide evenly into both numbers.
To simplify the fraction 615, we need to find the GCF of 615 and 1.
The prime factorization of 615 is 3 x 5 x 41.
Since the GCF is the product of the common prime factors, the GCF of 615 and 1 is 1.
Therefore, the simplified fraction is Start Fraction 615 over 1 End Fraction, or simply 615.
Simplify 1228 using the GCF.(1 point)
Responses
127
Start Fraction 12 over 7 End Fraction
328
Start Fraction 3 over 28 End Fraction
614
Start Fraction 6 over 14 End Fraction
37
To simplify the fraction 1228, we need to find the Greatest Common Factor (GCF) of 1228.
The prime factorization of 1228 is 2 x 2 x 307.
Since the GCF is the product of the common prime factors, the GCF of 1228 is 2.
To simplify the fraction, we divide both the numerator and denominator by the GCF:
1228 / 2 = 614
Therefore, the simplified fraction is Start Fraction 614 over 1 End Fraction, or simply 614.