Ratios and Proportions Using ratios to compare quantities
                     Ratios and 
Proportions
Using ratios to compare quantities
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Understanding Ratios
Equivalent Ratios
Lesson Simplified Ratios
Outline Activity
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How many hours 
do you spend 
playing games in  
a day?
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Learning 
Outcomes:
By the end of this lesson, you'll be 
able to:
• Understand the concept of ratios
• Identify and create equivalent 
ratios
• Simplify ratios
• Apply ratios to solve problems
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Understanding Ratios
Ratios are used to compare the number of one thing to 
another. It's written in the form a : b, which is read as 
"a to b."
Example:
The ratio of the number of 
apples to the number of 2 apples 
for every 
bananas is 5 bananas
2 : 5
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Different 
Types of 
Ratios
We can express ratios in 
different forms.
2
5
2 : 5 2 : 7
Part to Part to Ratio as a 
part whole fraction
ratio ratio
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Part to 
Part Ratio
Comparing one part to There are 3 volleyballs for
another part. every 8 basketballs.
3 : 8
part part
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Part to 
Whole 
Ratio
Comparing one part to There are 3 There are 8 
the whole or the total volleyballs and 11 basketballs and 11 
quantity. balls in total. balls in total.
3 : 11 8 : 11
part whol part whol
e e
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Ratio
as a 
Fraction
We can also express There are 3 There are 8 
ratios as fractions. volleyballs and 11 basketballs and 11 
balls in total. balls in total.
3 8
3 : 8 : 
11 11
11 11
The numerator shows the left side, 
Tip: while the denominator shows the 
right side.
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Checkpoint 
Task
Express the ratio of oranges to 
lemons into different types.
Part to Part
?
Part to Whole
?
Fraction ?
?
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ANSWER KEY
Checkpoint Task
Express the ratio of oranges to lemons into 
different types.
Part to Part
7 : 10
Part to Whole
7 : 17 10 : 17
Fraction 7 10
17 17
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Equivalent Ratios
Refer to two or more ratios that have the same value.
×2
=
1 : 3 2 : 6 Multiplying or dividing 
both parts of a ratio by 
the same number will 
×2 result in an equivalent 
ratio.
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Simplified Ratios
Refer to a ratio that has been expressed in its simplest 
form.
5 10
= :
5 : 10 5 5
Dividing both parts of a 
= ratio by a common factor 
1 : 2 will result in a simplified ratio.
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Try This!
If you spend 3 hours in a day 
playing your favorite game, 
what simplified ratio can you 
use to represent it?
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ANSWER KEY
Try This!
3 24
= :
3 : 24 3 3
=
1 : 8
The simplified ratio of 3 : 24 is 
1 : 8. www.sudo24.co
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Great work!
Today, you learned how to: 
visualize and write the 
ratio of two given 
numbers
simplify ratios
identify equivalent 
ratios
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