Fraction is a number in the form of a/b.

Here ‘a’ is called**numerator**, ‘b’ is called **denominator**.

Here ‘a’ is called

For example: ½, ¾.

**Proper fraction:**In proper fraction numerator is less than denominator i.e.

numerator < denominator

For Example: 2/5, 5/8…**Improper fraction:**In improper fraction numerator is greater than denominator i.e.

For Example: 5/2, 8/5…**Mixed fraction:**It is a combination of whole number and proper fraction.

For example: 2½, 3½….

**Find the largest from the following:**11/13, 9/11

**Trick: do cross multiplication**11×11 > 13×9

Clearly 11/13 is greater than 9/11.**When difference between numerator and denominator is same****If fraction is proper:**In this case, the fraction having bigger numerator is greater.

For example: 15/18, 7/10, 11/14, 8/11

15/18 > 11/14 > 8/11 > 7/10**If fraction is improper:**In this case, the fraction having smaller numerator is smaller.

For example: 11/8, 8/5, 31/28, 17/14

8/5 > 11/8 > 17/14 > 31/28

- Find the value of 6
^{2}/_{3 }– 5^{1}/_{6 }– 4^{2}/_{3} - Find the value of 999
^{1}/_{7}+ 999^{2}/_{7}+ 999^{3}/_{7}+ 999^{4}/_{7}+ 999^{5}/_{7}+ 999^{6}/_{7}.