### ABOUT FRACTIONS

__Types of fractions__

A fraction is a number that represent the part of whole.
Its numerator implies the number of equal parts and the
denominator indicates how many of those parts make up a whole.

There are mainly 3 different types of fractions:
proper fractions, improper fractions and mixed fractions.

Proper fractions have a numerator that is less than denominator.
Ex: 4/7 and 3/9 are proper fractions having
the nominator part smaller than the denominator part.

Improper fractions have the numerator greater than or equal
to denominator.
Ex: 9/9 and 12/7 are improper fractions have the nominator part
greater or equal to the denominator part.

Mixed fractions have a whole number plus a fraction
When an improper fraction is written as a combination of
whole number and a proper fraction it is called as compound
fraction or mixed fraction.

__Equivalent fractions__

An equivalent fraction of a fraction is obtained by
multiplying its numerator and denominator by the same number
other than zero.
Equivalent fractions of 1/2 are 2/4, 3/6, 4/8...

Equivalent fractions can also be obtained by dividing its
numerator and denominator by the same number other
than one.
Equivalent fraction of 15/25 is 3/5.

The product of numerator of first and the denominator
of second is equal to product of denominator of first and numerator of second.
So you can check if they are equivalent.

We can only add fractions with like denominators
If the fractions have unlike denominators, we use
equivalent fractions to make them the same.
To subtract fractions, the fractions must have like denominators
If the fractions have unlike denominators we use
equivalent fractions to make them the same.

When multiplying the denominators do not have to be the same.
To multiply first multiply the numerators. Then, multiply the
denominators. Before multiplying, we try to simplify the fractions.
This will make the multiplication easier

To divide fractions we change the division sign to a multiplication
sign. Then we change the divisor into its reciprocal and
proceed from there.