Simplifying Fractions: 100/784
Fractions can be a bit tricky to work with, but simplifying them can make them more manageable. In this article, we'll take a look at the fraction 100/784 and see how we can simplify it.
The Original Fraction
The original fraction is 100/784. This fraction can be written in 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 100 and 784, we can list the factors of each number:
Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100 Factors of 784: 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 196, 392, 784
The greatest common divisor of 100 and 784 is 4.
Simplifying the Fraction
Now that we have found the GCD, we can divide both the numerator and the denominator by 4:
100 ÷ 4 = 25 784 ÷ 4 = 196
So, the simplified fraction is:
25/196
There you have it! The simplified fraction of 100/784 is 25/196.
