To find the fraction equivalent of 0.454545.......
It can be seen that this is a repeating decimal because 45 are repeating
One way to find the fraction equivalent is to follow the steps below
Step 1: Equate the reaction to an unknown number
let y = 0.45454545.... Equation 1
Step 2: Since there are two numbers (4 and 5) repeating, multiply the equation by
100.
If there is just one repeating decimal number, you will multiply by 10
So in simple terms, the number of repeating numbers will determine the number of zeros
So multiplying equation 1 by 100
100y = 45.45454545.... ---- Equation 2
we can now subtract equation 1 from equation 2
100y - y = 45.4545 - 0.4545
99y = 45
If 99y = 45
we can divide both sides by 99
y = 45/99
The equivalent fraction is y = 45/99
