Grade 5 quarter 3

1. PERCENT IN RELATION TO
FRACTION, RATIO, AND
DECIMAL
Visualize percent and its relationship to fractions, ratios, and decimal numbers using models.

2. Let’s Start!
◦The school’s supply officer purchase of 100
sets of basic classroom materials
composed of eraser, markers, class records,
and lesson plan notebooks. He gave a set
of the materials to each of the 83teachers.

3. Model

4. Representation
83 out of 100 can be written in four ways.
◦As a fraction :
83
100
◦As a ration : 83 : 100
◦As a decima: 0.83
◦As a percent: 83%

5. Percent
◦It is means “per hundred” or for
every 100. It is the ratio of a given
number to 100. We use the symbol
% to represent percent.

6. Problem
◦Rina helped her mother sell
vegetables in the market. In the
afternoon, she counted the
remaining vegetables.

7. Model
• What percent of the vegetables is
eggplant?
• 27%
• What percent represent carrots?
• 25%
• Which vegetable is 23%?
• none

8. Changing Percent to fraction
◦ To change a percent to fraction, write the equivalent as a fraction with a
denominator of 100. Then, express the fraction in simplest form, if
necessary.
◦ EXAMPLES:
1. 48% = 48
100
=
12
25
2. 120% = 120
100
6
5

9. Exercise
1. 23%
◦
23
100
2. 35%
◦
35
100
𝑜𝑟
7
20
3. 130%
◦
130
100
𝑜𝑟
13
10
4. 90%
◦
90
100
𝑜𝑟
9
10
5. 150%
◦
150
100
𝑜𝑟
3
2
6. 85%
◦
85
100
𝑜𝑟
17
20

10. Changing Fraction to Percent
To change a fraction to percent, multiply the fraction by 100%. Remember that 100% is
the same as
100
100
or 1. Always affix the percent sign (%) to the answer.
Examples:
1.
2
5
2
5
𝑥100% =
200%
5
= 40%
2.
5
6
5
6
𝑥100% =
500%
6
= 83
1
3
%

11. Exercise
1.
9
10
◦ 90%
2.
4
5
◦ 80%
3.
7
18
◦ 38
8
9
4.
3
7
◦ 42
6
7
%
5.
5
12
◦ 41
2
3
%
6.
18
25
◦ 72%

12. CHANGING PERCENT
TO DECIMALS

13. Changing Percent to Decimals
◦ To change a percent to decimal, write it as a fraction with denominator 100. then, write the
equivalent decimals.
◦ Examples:
1. 58%
2. 119%
3. 5%

14. Changing Percent to Decimals
◦Note that
58
100
and 0.58 are both read as 68
hundredths. Likewise,
119
100
is read as 119
hundredths, hence 1.19 is up to the
hundredths place.

15. Changing Percent to Decimals
◦ To change a percent to decimal as a shortcut procedure, simply move the decimal point two
places to the left. Append zeros if necessary, the drop the % sign.
◦ Examples:
1. 58%
2. 119%
3. 5%

16. Activity
1. 120%
2. 89%
3. 30%
4. 50%
5. 60%
6/. 110%

17. CHANGING DECIMALS TO
PERCENT

18. Changing Decimals to Percent
◦ To change a decimal to percent, write the decimal as a fraction with 100 as a fraction with 100
as denominator and write the equivalent in percent.
◦ Examples
1. 0.18
2. 0.3
3. 2.63

19. Changing Decimals to Percent
◦ Another way to change a decimal to percent is move the decimal point two places to the right.
Append zeros if necessary, then affix % sign.
◦ Examples:
1. 0.18
2. 0.3
3. 2.63
◦

20. Activity
1. 0.78
2. 0.56
3. 075
4. 0.23
5. 0.60
6. 0.85

21. CHANGING PERCENT
TO RATIO

22. Changing Percent to Ratio
◦ To change a percent to ratio. Write the percent in fraction form (dropping the percent sign) and
then in ration, if necessary.
◦ Examples:
1. 28%
2. 9%
3. 216%

23. Activity
1. 56%
2. 60%
3. 35%
4. 253%
5. 15%
6. 49%

24. CHANGING RATIO TO
PERCENT

25. Changing Ratio to Percent
◦ To change a ratio to percent, write the ratio in fractions form. Determine the equivalent ratio
where the second term is 100. then express it as a percent. Do not forget to affix the % sign.
◦ Examples:
1. 9:10 2. 8:25 3. 10:12

27. Changing Ratio to Percent
◦ In example 3, we divided the term of
500
600
by 6 to make the second term
of the denominator 100. Also in a previous example,
5
6
is converted into
percent using a shortcut as follows.
5
6

28. Activity

29. Let’s Remember!
◦ Percent means “For every 100,” thus, n percent means “n for
every hundred,” “n for every 100,” “
𝑛
100
,” and “n%”
◦ Changing percent to fraction: use n% =
𝑛
100
, then express it in
simplest form.
◦ Changing Fraction to percent: Write the equivalent of the
fraction to make it equal to
𝑛
100
, then write it as n%.

30. Let’s Remember!
◦ Changing percent to decimal: use n% =
𝑛
100
and express n up to two
decimal places.
◦ Changing decimal to percent: Write the decimal as a fraction and use its
equivalent with 100 as denominator, or
𝑛
100
. Then, write as n%
◦ Changing percent to ratio: When n% as n:100, then simply it, if possible.
◦ Changing ratio to percent: Get the equivalent of the ratio until it
becomes n:100, and then write it as n%.