Step 1 :
Write the given percentage as fraction.
For example, if it is 15% then write it as 15/100.
Step 2 :
Convert the denominator of the given fraction as 100 using multiplication.
So that, on either sides we will have fractions with same denominators.
Step 3 :
Now we can easily compare the numerators and decide which number is greater and which number is smaller.
Note :
If it is not possible to convert the denominator of the given fraction into 100 using multiplication, better convert both percent and fraction into decimal and compare.
Step 1 :
Write the given percentage as fraction. That is, if we have 15% then write it as 15/100.
Step 2 :
Multiply and divide the given decimal by 100.
So that, on either sides we will have fractions with same denominators.
Step 3 :
Now we can easily compare the numerators and decide which number is greater and which number is smaller.
Example 1 :
Which of the following signs makes the statement true ?
< , > , =
Solution :
We can write 20% as shown below.
20 / 100 -----(1)
Multiply both numerator and denominator of the fraction 1/2 by 50 as shown below.
(1 / 2) ⋅ (50 / 50) = 50 / 100 -----(2)
In fractions (1) and (2), the denominators are same.
Now, we can compare the numerators.
20 is lesser than 50
So, 20% is lesser than 1/2.
Example 2 :
Which sign makes the statement true?
< , > , =
Solution :
Here, both the quantities are percents.
So, we can easily compare them.
65% is greater than 62%
Example 3 :
Which sign makes the statement true?
< , > , =
Solution :
We can write 7% as shown below.
7 / 100 -----(1)
Multiply both numerator and the denominator of the fraction 1/4 by 25 as shown below.
(1 / 4) ⋅ (25 / 25) = 25 / 100 -----(2)
In fractions (1) and (2), the denominators are same.
Now, we can compare the numerators.
7 is lesser than 25
So, 7% is lesser than 1/4.
Example 4 :
Which sign makes the statement true?
< , > , =
Solution :
In the fraction 79/100, already the denominator is 100.
So, we have nothing more to do in the fraction 79/100.
79 / 100 -----(1)
We can write 79% as shown below.
79 / 100 -----(2)
In fractions (1) and (2), both the numerators and denominators are same.
So, 79/100 and 79% are equal.
Example 5 :
Which sign makes the statement true?
< , > , =
Solution :
We can write 3% as shown below.
3 / 100 -----(1)
Multiply and divide the decimal 0.07 by 100 as shown below.
0.07 ⋅ (100 / 100) = 7 / 100 -----(2)
In fractions (1) and (2), the denominators are same.
Now, we can compare the numerators.
3 is lesser than 7
So, 3% is lesser than 0.07
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