35/63 as a Fraction in Simplest Form
What is the Simplest Form of 35/63?
The fraction 35/63 can be simplified to its simplest form by dividing both the numerator and the denominator by their greatest common divisor (GCD).
Finding the Greatest Common Divisor (GCD)
To find the GCD of 35 and 63, we can list the factors of each number:
Factors of 35: 1, 5, 7, 35 Factors of 63: 1, 3, 7, 9, 21, 63
The GCD of 35 and 63 is 7, since it is the largest number that divides both 35 and 63 without leaving a remainder.
Simplifying the Fraction
Now, we can divide both the numerator and the denominator of the fraction 35/63 by their GCD, which is 7:
Numerator: 35 ÷ 7 = 5 Denominator: 63 ÷ 7 = 9
So, the simplified form of the fraction 35/63 is:
5/9
Conclusion
In conclusion, the simplest form of the fraction 35/63 is 5/9. This is achieved by dividing both the numerator and the denominator by their greatest common divisor, which is 7.
