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2. Submitted to: Maam Sidra Saeed
Submitted by: Gulshan Asghar
Topic: Fractions as Percentages,
Subject: pedagogy

3. Converting fractions
and percentages
Fractions
and
Percentage
s
INSPIRED BY

4. Lesson
Outline
Review Finding
Equivalent
Fractions
Writing
Percentages
as Fractions
Writing
Fractions as
Percentages

5. Would you say that
the two fractions
represented by
the models are
equivalent?

6. Review equivalent fractions
Write fractions as percentages
Write percentages as fractions
Learning Outcomes
Fractions are
considered equivalent
when they have the
same value even when
their numerators and
denominators are
different.
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7. 2
6
2
6
4
12
4
12
= =
Since the resulting fraction matches the second fraction,
it means that 2/6 and 4/12 are equivalent fractions!
× 2
× 2
Think of a number that can
be multiplied or divided to
both the numerator and
denominator of the
first fraction.
If the resulting fraction
matches the second
fraction, they're equivalent.
Finding Equivalent
Fractions

8. Finding Equivalent
Fractions
2
8
2
8
2
8
4
16
1
4
=
=
× 2
× 2
÷ 2
÷ 2
To find equivalent
fractions, multiply
or divide both the
numerator and
denominator by
the same number.
Recall:

9. per cent
per hundred
the amount in
each one hundred
Any fraction can be
written as a percentage
by finding its equivalent
that has a denominator
of 100.

10. 25
100
1
4
Write the value of the
numerator followed
by the percent symbol.
3.
Count the number
of shaded parts.
2.
Split the squares to
form 100 squares.
1.
25%
Writing Fractions as
Percentages

11. 1. 2.
Remove the
% symbol.
Write the number
as a numerator of
a fraction with a
denominator of 100.
60% 60
60%
60
100
TIP: This is a fraction of
a 100 and can still be
simplified as needed.
Can you write
this fraction in
simplest form?
Writing Percentages as
Fractions
Use the highest common factor to simplify the fraction from a percentage

12. Writing Percentages as
Fractions
Use the highest common factor to simplify the fraction from a percentage
Simplest form
= =
60%
60
100
Factors
60
1, 2, 3, 4, 5, 6, 10, 12,
15, 20, 30, and 60
100 1, 2, 4, 5, 10, 20, 25, 50, and 100
Find the highest common
factor of 60 and 100.
1.
Divide the numerator and denominator by
the highest common factor to simplify.
2.
60
100
3
5
=
÷ 20
÷ 20

13. PRACTICE
Write the following
fractions as percentages.
Write the following
percentages as fractions.
1) 2) 1) 2)
as a fraction
of 100
12%
in simplest
form
15%
A B

14. 30
100
3
10
TIP: Find the number that
must be multiplied to the
denominator to get 100
then multiply it to the
numerator too.
20%
1
5
20
100
=
30%
× 20
× 20
PRACTICE
Answer Key
Write the following
fractions as percentages.
A
1) 2)

15. PRACTICE
Answer Key
Write the following
percentages as fractions.
B
1) 2)
12 out of 100
12
100
as a fraction of 100
12%
15 out of 100
3
20
15
100
÷ 5
÷ 5
in simplest form
15%

16. Reference
Mathspace. "6.01 Fractions out of 100 | Grade 5 Math |
Australian Curriculum Year 5 - vs9 Pre-release"
Accessed 7 August 2023,
https://mathspace.co/textbooks/syllabuses/Syllabus-
1165/topics/Topic-22070/subtopics/Subtopic-280745