PPT: Ratio And Proportion

 Page 1


Ratio and 
Proportion
Page 2


Ratio and 
Proportion
R a t i o
D e f i n i t i o n
Comparison or simplified 
form of two quantities of the 
same kind is referred to as a 
ratio. This relation gives us 
how many times one 
quantity is equal to the other 
quantity.
R e p r e s e n t a t i o n
A ratio can be represented in 
three different forms: a to b, 
a : b, or a/b. The sign used to 
denote a ratio is ':' .
P u r p o s e
We make use of ratios to 
compare two things. For 
example, a ratio can be 
written as a fraction, such as 
2/5. We happen to see 
various comparisons or 
ratios in our daily life.
Page 3


Ratio and 
Proportion
R a t i o
D e f i n i t i o n
Comparison or simplified 
form of two quantities of the 
same kind is referred to as a 
ratio. This relation gives us 
how many times one 
quantity is equal to the other 
quantity.
R e p r e s e n t a t i o n
A ratio can be represented in 
three different forms: a to b, 
a : b, or a/b. The sign used to 
denote a ratio is ':' .
P u r p o s e
We make use of ratios to 
compare two things. For 
example, a ratio can be 
written as a fraction, such as 
2/5. We happen to see 
various comparisons or 
ratios in our daily life.
Notes
Same Kind
The ratio should exist between 
the quantities of the same kind. 
For meaningful comparison, both 
items must be measured in 
similar units.
Significant Order
There should be significant order 
of terms. The sequence in which 
quantities are written matters in 
ratio notation.
Equivalent Ratios
The comparison of two ratios 
can be performed only if the 
ratios are equivalent like 
fractions. This allows for valid 
mathematical operations.
Page 4


Ratio and 
Proportion
R a t i o
D e f i n i t i o n
Comparison or simplified 
form of two quantities of the 
same kind is referred to as a 
ratio. This relation gives us 
how many times one 
quantity is equal to the other 
quantity.
R e p r e s e n t a t i o n
A ratio can be represented in 
three different forms: a to b, 
a : b, or a/b. The sign used to 
denote a ratio is ':' .
P u r p o s e
We make use of ratios to 
compare two things. For 
example, a ratio can be 
written as a fraction, such as 
2/5. We happen to see 
various comparisons or 
ratios in our daily life.
Notes
Same Kind
The ratio should exist between 
the quantities of the same kind. 
For meaningful comparison, both 
items must be measured in 
similar units.
Significant Order
There should be significant order 
of terms. The sequence in which 
quantities are written matters in 
ratio notation.
Equivalent Ratios
The comparison of two ratios 
can be performed only if the 
ratios are equivalent like 
fractions. This allows for valid 
mathematical operations.
P r o p o r t i o n
D e f i n i t i o n
Proportion is an equation that 
defines that the two given 
ratios are equivalent to each 
other. In other words, 
proportion states the equality 
of two fractions or ratios.
When two ratios are equal in 
value, they are said to be in 
proportion. It essentially 
compares two ratios.
E x a m p l e
If two sets of numbers are 
increasing or decreasing in the 
same ratio, they are directly 
proportional. For example, the 
time taken by a train to cover 
100km per hour equals the 
time taken to cover 500km in 5 
hours.
Such as: 100km/hr = 
500km/5hrs
N o t a t i o n
Proportions are denoted by the 
symbol '::' or '=' . Ratio and 
proportions are said to be faces 
of the same coin, representing 
related mathematical concepts.
Page 5


Ratio and 
Proportion
R a t i o
D e f i n i t i o n
Comparison or simplified 
form of two quantities of the 
same kind is referred to as a 
ratio. This relation gives us 
how many times one 
quantity is equal to the other 
quantity.
R e p r e s e n t a t i o n
A ratio can be represented in 
three different forms: a to b, 
a : b, or a/b. The sign used to 
denote a ratio is ':' .
P u r p o s e
We make use of ratios to 
compare two things. For 
example, a ratio can be 
written as a fraction, such as 
2/5. We happen to see 
various comparisons or 
ratios in our daily life.
Notes
Same Kind
The ratio should exist between 
the quantities of the same kind. 
For meaningful comparison, both 
items must be measured in 
similar units.
Significant Order
There should be significant order 
of terms. The sequence in which 
quantities are written matters in 
ratio notation.
Equivalent Ratios
The comparison of two ratios 
can be performed only if the 
ratios are equivalent like 
fractions. This allows for valid 
mathematical operations.
P r o p o r t i o n
D e f i n i t i o n
Proportion is an equation that 
defines that the two given 
ratios are equivalent to each 
other. In other words, 
proportion states the equality 
of two fractions or ratios.
When two ratios are equal in 
value, they are said to be in 
proportion. It essentially 
compares two ratios.
E x a m p l e
If two sets of numbers are 
increasing or decreasing in the 
same ratio, they are directly 
proportional. For example, the 
time taken by a train to cover 
100km per hour equals the 
time taken to cover 500km in 5 
hours.
Such as: 100km/hr = 
500km/5hrs
N o t a t i o n
Proportions are denoted by the 
symbol '::' or '=' . Ratio and 
proportions are said to be faces 
of the same coin, representing 
related mathematical concepts.
The proportion can be classified into the 
following categories
1
Direct Proportion
When two quantities 
increase or decrease 
together at the same rate, 
they are in direct 
proportion. As one value 
grows, the other grows 
proportionally.
2
Inverse Proportion
When an increase in one 
quantity causes a 
proportional decrease in 
another quantity, they are 
in inverse proportion. As 
one value grows, the 
other shrinks 
proportionally.
3
Continued 
Proportion
This involves a sequence 
of equal ratios where 
consecutive terms form 
equivalent proportions, 
creating a mathematical 
chain of proportional 
relationships.