Example: Convert 5.56 into a rational number.
- Let the given decimal be equal to 'x'.
- If there are 'm' digits in the recurring part of the decimal, multiply both sides of the equation by 10m.
- From the result equation subtract the original equation.
Solution:Let x = 5.56...........I
There are two digits in the recurring decimal part, hence multiplying both sides by 100.
100x = 556.5656......II
Subtracting I from II, we get,
99x = 551
x = 551/99
Directions: Convert the given recurring decimal into rational form.