write in p/q from 11.181818
Answers
Hey,
Question :-
Write the p/q form of 11.181818
Solution :-
x = 11.1818 :- Equation 1
Equation 1 × 100
100x = 1118.1818 :- Equation 2
Equation 2 - Equation 1
100x = 1118.1818
x = 11.1818
99x = 1107
x = 1107/99
x = 369/33
x = 123/11
Further Information :-
1. Numbers which contain a point is called a decimal. For example
:- 1.2
:- 7.02
:- 33.01
2. To solve a fraction with decimal, all we have to do is to remove the decimal from the numerator and add "0" in the denominator. For example
:- 3.2/6 = 32/60
:- 8.22/3 = 822/300
3. Fraction represents the number of parts we have out of the whole. For example
:- 8/9
(where the total pieces are 9 and we have 8 pieces out of them and here 8 is the numerator and 9 is the denominator)
4. Fractions which represents same value are called equivalent fractions. For example
:- 4/8 could be written as 1/2
5. Converting any decimal form into fractional form is called p/q form (where q ≠ 0). For example
:- 0.4747
x = 0.4747 :- Equation 1
Equation 1 × 100
100x = 47.4747 :- Equation 2
Equation 2 - Equation 1
100x = 47.4747
x = 0.4747
99x = 47
x = 47/99
Hope That Helps :)
@MagicHeart~