Here Some Basic Formulas/Rules Are given below :-
Conversion of a Decimal Into Vulgar Fraction :
Put 1 in the denominator under the decimal point and annex with it as many zeros as is the number of digits after
the decimal point. Now, remove the decimal point and reduce the fi action to its
Operations on Decimal Fractions :
Comparison of Fractions :
Suppose some fractions are to be arranged in ascending
or descending order of magnitude. Then, convert each one of the given fractions in
the decimal form, and arrange them accordingly.
Recurring Decimal :
in a decimal fraction, a figure or a set of figures is repeated
continuously, then such a number is called a recurring decimal.
In a recurring decimal, if a single figure is repeated, then it is expressed by putting
a dot on it. If a set of figures is repeated, it is expressed by putting a bar on the set.
Pure Recurring Decimal :
A decimal fraction in which all the figures after the
decimal point are repeated, is called a pure recurring decimal.
Converting a Pure Recurring Decimal Into Vulgar Fraction :
Write the repeated figures only once in the numerator and take as many nines in the denominator as is the number of repeating figures.
Mixed Recurring Decimal :
decimal fraction in which soMe figures do not repeat
and some of them are repeated, is called a mixed recurring decimal.
Converting a Mixed Recurring Decimal Into Vulgar Fraction :
In the numerator, take the difference between the number formed by all the digits after decimal point
(taking repeated digits only once) and that formed by the digits which are not repeated.
In the denominator, take the number formed by as many nines as there are repeating
digits followed by as many zeros as is the number of non-repeating digits.