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 1/30th 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