Find the missing fraction in each of the following proportion
Right answer will be marked as BRAINLIEST
Answers
Step-by-step explanation:
Given :-
(1/3) : (1/2) : : ___ : 1
To find :-
Missing fraction
Solution :-
Given that
(1/3) : (1/2) : : ___ : 1
Let the missing fraction be X
then we have
(1/3) : (1/2) : : X : 1
We know that
In proportion,
Product of means=Product of extremes
=> (1/2)×X = (1/3)×1
=> (1×X)/2 = 1/3
=> X/2 = 1/3
=> X = (1/3)×2
=> X = (1×2)/3
=> X = 2/3
Therefore, X = 2/3
Answer :-
The missing fraction is 2/3
Check :-
If X = 2/3 then
(1/3) : (1/2) : : (2/3) : 1
Product of means = (1/2)×(2/3) = 2/6 = 1/3
Product of extremes = (1/3)×1 = 1/3
Product of means = Product of extremes
They are in the proportion.
Hence, Verified the given relations in the given problem.
Used formulae:-
→ In proportion,
Product of means=Product of extremes
PROVIDED INFORMATION :
Find the missing fraction in each of the following proportion
TO FIND :-
Find the missing fraction = ?
USING CONCEPT :-
means = product of extreme
UNDERSTANDING CONCEPT :-
CONCEPT :-
here the question is telling about ratio and proportion we have provided 1/3 : 1/2 : : dash :1
first we multiply the number 1/3 with 2/1 then, we have to divide with 1 we get the answer
what is ratio and proportion ?
ANS = Ratio: -
A ratio is a comparison of two numbers. We generally separate the two numbers in the ratio with a colon ":". Suppose we want to write the ratio of 8 and 12.We can write this as 8:12 or as a fraction 8/12, and we say the ratio is eight to twelve.
Proportion:-
A proportion is anequation with a ratio on each side. It is a statement that two ratios are equal. 3/4 = 6/8 is an example of a proportion. When one of the four numbers in a proportion is unknown, cross products may be used to find the unknown number. This is called solving the proportion.
SOLUTION :
1 × 2 / 3 × 1 = x /1
x = 2/3