Math Pedagogy TLS UAE TEACHING LICENSE

1. 16#Perecentages
ECD SPECIALIZATION

2. Percentages/percents
Percent is a fraction.
1. In percentage the bottom will always be 100 no matter
what is the top number.
2. Percent in fraction 13% = 13/100

3. Percentages and fractions
Percentages Fractions
3% 3/100
5% 5/100
7% 7/100
9% 9/100

4. 0% & 100%
0% = 0/100
100%=100/100=1

5. Percentage into fraction form & decimal form
For Example
1. 15% =15/100=0.15

6. Convert Fraction into percentage
For Example: 5/8
5x100%
8
=500/8%= 62.5%

7. Sample Questions#1
In two successive tests a student gains marks of 57/79 and 49/67. Is the
second mark better or worse than the first?

8. Solution SQ#1
57x100%/79 NUMERATOR always be multiplied with 100%
Part 1:
Hence 57x100=5700
Then 5700/79% in fraction
In decimals 72.15%
Part 2:
49/67
Similarly: 49x100%/67
4900/67% in fraction or 73.13% in decimals (Back to the Question)

9. Sample Question #2
In a machine shop, it takes 32 minutes to machine a certain part. Using
a new tool, the time can be reduced by 12.5%. Calculate the new time
taken.

10. Solution SQ#2
First calculate the 12.5% of the 32 minutes
12.5% will change after the replacement of new tool. It means it will
work faster.
12.5%x32/100=4 (reduced time)
Subtract the 12.5% from 32 minutes in order to know how much time it
will take.
32-4=28 minutes will take instead of 32 minutes due to new tool.