**Basic Applications of Fractions**

**1. Fraction helps us determine the part of any number**

¾ part of 56 = ¾ x 56 = 42

4/5 part of 90 = 4/5 x 90 =72

**2. You can be asked to represent a number in the form of fraction.**

For example, you can be asked to represent 15 as a fraction of 450.

This can be done as follows:

15/450 = 1/30

We have solved the above example and it can be easily seen that 15 is our numerator and 450 is our denominator

**3. Always remember that the major quantity from which we have to extract something is the denominator.**

For example, when we say 4/5, we are essentially extracting four parts out of five.

**4. Extending the above concept, the quantity that is extracted is our numerator**

For example: 15/450 = 1/30

15 is the numerator because we have extracted 15 from 450 and the denominator is 450 because 15 is extracted from 450 so we can say that 1/30^{th} part of 450 is 15

** 5. ****Converting percentages into equivalent fractions makes our calculation easy**

For example:

If we remember 37.5% = 3/8 and one is asked to find 37.5% of 24 then we can write

37.5% of 24= 3/8 x 24 = 9

** ****Remember few equivalent fractions for given percentages:**

50% = 1/2

25% = 1/4

12.5% = 1/8

6.25% = 1/16

33.33% = 1/3

66.66% = 2/3

75% = 3/4

20% = 1/5

40% = 2/5

60% = 3/5

80% = 4/5

16.66% = 1/6

83.33% = 5/6

14.28% = 1/7

28.57% = 2/7

42.85% = 3/7

57.14%= 4/7

71.42% = 5/7

85.71%=6/7

37.5% = 3/8

62.5% = 5/8

87.5% = 7/8

11.11% = 1/9

22.22% = 2/9

44.44% = 4/9

55.55% = 5/9

77.77% = 7/9

88.88% = 8/9

9.09% = 1/11

18.18% = 2/11

27.27% = 3/11

36.36% = 4/11

45.45% = 5/11

54.54% = 6/11

63.63% = 7/11

72.72% = 8/11