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Ratios and
Proportions
U s i n g r a t i o s t o c o m p ar e q u a n t i t i e s
Page 2


Ratios and
Proportions
U s i n g r a t i o s t o c o m p ar e q u a n t i t i e s 2 a p p l e s f o r e v e r y 5 b a n a n a s R a t i o s a r e u s e d t o c o m p a r e t h e n u m b e r o f o n e t h i n g t o a n o t h e r . I t ' s w r i t t e n i n t h e f o r m a : b , w h i c h i s r e a d a s " a t o b . " Understanding Ratios
E x a m p l e :
T h e r a t i o o f t h e n u m b e r o f a p p l e s t o t h e n u m b e r o f b a n a n a s i s 2 : 5
Page 3


Ratios and
Proportions
U s i n g r a t i o s t o c o m p ar e q u a n t i t i e s 2 a p p l e s f o r e v e r y 5 b a n a n a s R a t i o s a r e u s e d t o c o m p a r e t h e n u m b e r o f o n e t h i n g t o a n o t h e r . I t ' s w r i t t e n i n t h e f o r m a : b , w h i c h i s r e a d a s " a t o b . " Understanding Ratios
E x a m p l e :
T h e r a t i o o f t h e n u m b e r o f a p p l e s t o t h e n u m b e r o f b a n a n a s i s 2 : 5
2 : 5 2 : 7
P a r t t o w h o l e r a t i o ( A p p l e ) P a r t t o p a r t r a t i o Example
Page 4


Ratios and
Proportions
U s i n g r a t i o s t o c o m p ar e q u a n t i t i e s 2 a p p l e s f o r e v e r y 5 b a n a n a s R a t i o s a r e u s e d t o c o m p a r e t h e n u m b e r o f o n e t h i n g t o a n o t h e r . I t ' s w r i t t e n i n t h e f o r m a : b , w h i c h i s r e a d a s " a t o b . " Understanding Ratios
E x a m p l e :
T h e r a t i o o f t h e n u m b e r o f a p p l e s t o t h e n u m b e r o f b a n a n a s i s 2 : 5
2 : 5 2 : 7
P a r t t o w h o l e r a t i o ( A p p l e ) P a r t t o p a r t r a t i o Example
A n e q u a t i o n t h a t s t a t e s t h a t t w o r a t i o s a r e e q u a l i s c a l l e d p r o p o r t i o n . PROPORTION
Example : Are 2 : 5 equivalent to 12 : 30 ?
We know, 2/5 = 12 / 30
Hence, 2 : 5 = 12 : 30.
? The first and fourth terms of the proportion are called
Extremes.
? The second and the third terms are called Means.
? Two ratios are in proportion if the
Product of extremes = Product of means.
Page 5


Ratios and
Proportions
U s i n g r a t i o s t o c o m p ar e q u a n t i t i e s 2 a p p l e s f o r e v e r y 5 b a n a n a s R a t i o s a r e u s e d t o c o m p a r e t h e n u m b e r o f o n e t h i n g t o a n o t h e r . I t ' s w r i t t e n i n t h e f o r m a : b , w h i c h i s r e a d a s " a t o b . " Understanding Ratios
E x a m p l e :
T h e r a t i o o f t h e n u m b e r o f a p p l e s t o t h e n u m b e r o f b a n a n a s i s 2 : 5
2 : 5 2 : 7
P a r t t o w h o l e r a t i o ( A p p l e ) P a r t t o p a r t r a t i o Example
A n e q u a t i o n t h a t s t a t e s t h a t t w o r a t i o s a r e e q u a l i s c a l l e d p r o p o r t i o n . PROPORTION
Example : Are 2 : 5 equivalent to 12 : 30 ?
We know, 2/5 = 12 / 30
Hence, 2 : 5 = 12 : 30.
? The first and fourth terms of the proportion are called
Extremes.
? The second and the third terms are called Means.
? Two ratios are in proportion if the
Product of extremes = Product of means.
Example : Are 20, 40, 60 and 80 in proportion.
 Solution : We have 20 : 40  =  20/40  =  2/4  =  1/2
Also, 
             60/80  =  6/8  =  3/4
Thus 20 : 40 are not in proportion to 60 : 80
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FAQs on PPT: Ratio and Proportion - Mathematics for Class 5

1. What is the difference between ratio and proportion?
Ans. A ratio is a comparison between two numbers, while a proportion is an equation that states two ratios are equal.
2. How can ratios be simplified?
Ans. Ratios can be simplified by dividing both numbers by their greatest common factor.
3. How do you find the missing number in a proportion?
Ans. To find the missing number in a proportion, you can cross multiply and then solve for the unknown variable.
4. Can ratios be used in everyday life situations?
Ans. Yes, ratios are commonly used in everyday life situations such as cooking recipes, financial planning, and sports statistics.
5. How can proportions be used to solve real-world problems?
Ans. Proportions can be used to solve real-world problems such as calculating distances on a map, determining discounts in shopping, and scaling up or down recipes.
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