Revision: Term - 3 >> Fractions Mathematics SSLC (English Medium) Class 6 Tamil Nadu Board of Secondary Education

A fraction is a numerical quantity that represents a part of a whole.

 If two or more fractions have the same value, they are called equivalent or equal fractions.
E.g., `1/3`, `3/9`, `6/18` and `9/27` are equivalent fractions.

The product of the numerator of the first and the denominator of the second is equal to the product of the denominator of the first and the numerator of the second. These two products are called cross-products.

`a/b = c/d`

`a xx d = c xx b`.

A fraction that contains a whole number and a proper fraction is called a mixed fraction.
`3 2/3, 4 2/3, 3 7/8` are all examples of mixed fractions.

A fraction is called an improper fraction when the numerator is greater than or equal to the denominator.

i.e., numerator > denominator.

Example:

`3/2, 12/7, 18/5` are all examples of improper fractions

In a proper fraction, the numerator is less than the denominator.
i.e., numerator < denominator.

Example:

`3/4, 1/2, 9/10, 5/8` are examples of a proper fraction.

`a/c` × `c/d` = `"a × c" / "b × d"`

`a/b` ÷ `c/d` = `a/b` × `d/c`