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\\November 3, 2023 12:46 PM Surender Prajapati Proof 2 Reader _________________________ Date: ___________________74
80 1
= = 80 × = 80%
100 100 Remember
(c) 7 = 7 × 100 % = (7 × 5)% = 35% We can also write the
20 20 equivalent fractions
Alternative method: 7 = 7 × 5 with denominator 100
and then convert it into
20 20 × 5
35 percentage.
= = 35% While converting a
100 number and a quantity in
2
2
(d) 2 = × 100 % = 200 % = 66 % to percentage we replace
3 3 3 3 1 with the symbol %.
100
CONVERTING PERCENTAGE INTO FRACTIONS
It is converse of converting fractions into percentage.
To convert a percentage into a fraction, we remove % symbol and divide by 100.
Example: Convert the following percentages into fractions.
3
(a) 9% (b) 15% (c) 35% (d) %
5
Solution: (a) 9% = 9 (b) 15% = 15 = 3
100 100 20 Get it right!
3
(c) 35% = 35 = 7 (d) % = 3 = 3 35% = 35 × 100
100 20 5 5 × 100 500 35% = 35
100
Knowledge Desk
100% means full 100% 10% means one-tenth 10%
50% means half 50% 200% means double or 2 times
25% means quarter 25% 300% means triple or 3 times
CONVERTING PERCENTAGE INTO DECIMALS
To convert percentage into decimal, remove % symbol and divide by 100 and convert the
fraction thus obtained into decimals.
Example: Convert the following percentages into decimals.
2
(a) 6% (b) 12% (c) 48% (d) 78% (e) %
5
Solution: (a) 6% = 6 = 0.06 (b) 12% = 12 = 0.12
100 100 Remember
(c) 48% = 48 = 0.48 (d) 78% = 78 = 0.78 To convert per cent into
100 100 decimal, remove % sign and
(e) 2 % = 2 = 2 = 2 × 2 = 4 = 0.004 shift the decimal point two
places to the left.
5 5 × 100 500 500 × 2 1000
Teacher’s Explain to students that any fraction with the denominator 100 can be converted into percentage, by removing
Tip the denominator and writing a percentage sign after the numerator.
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