. Check whether the given two ratios form a proportion or not (i) 4 : 6 and 12 : 18 (ii) 14 : 4 and 18 : 6 (iii) 15 : 45 and 40 : 120 (iv) 12 : 18 and 28 : 12.
Answers
Step-by-step explanation:
Given :-
i) 4 : 6 and 12 : 18
(ii) 14 : 4 and 18 : 6
(iii) 15 : 45 and 40 : 120
(iv) 12 : 18 and 28 : 12.
To find :-
Check whether the given two ratios form a proportion or not ?
Solution :-
i)
Given that 4 : 6 and 12 : 18
The product of means = 6×12 = 72
The product of extremes = 4×18 = 72
We have,
The product of means = The product of extremes
4 : 6 and 12 : 18 are in the proportion.
ii)
Given that 14 : 4 and 18 : 6
The product of means = 4×18 = 72
The product of extremes = 14×6 = 84
We have,
The product of means ≠ The product of extremes
14 : 4 and 18 : 6 are not in the proportion.
iii)
Given that 15 : 45 and 40 : 120
The product of means = 45×40 = 1800
The product of extremes = 15×120 = 1800
We have,
The product of means = The product of extremes
15 : 45 and 40 : 120 are in the proportion.
iv)
Given that 12 : 18 and 28 : 12.
The product of means = 18×28 = 504
The product of extremes = 12×12 = 144
We have,
The product of means ≠ The product of extremes
12 : 18 and 28 : 12. are not in the proportion.
Answer:-
i) 4 : 6 and 12 : 18 are in the proportion.
ii)14 : 4 and 18 : 6 are not in the proportion.
iii)15 : 45 and 40 : 120 are in the proportion.
iv)12 : 18 and 28 : 12. are not in the proportion
Used formulae:-
→ If the product of means = The product of extremes then the two ratios are in the proportion.
Points to know:-
→ The ratio of a and b = a:b
→ Equality of ratios is called Proportion.
→ :: is the symbol for Proportion. It is read as is as
→ In a:b :: c:d , a and d are the extremes and b and c are the means
→ If a:b : : c:d then bc = ad .
Answer:
.
Step-by-step explanation:
Answer:
1) 2:3 2:3 Yes =
2) 1:3 = 1:3 Yes 3) 7:2 not equal to 3:1 No
4) 2:3 not equal to 7:3 No
I have found their simplest form and then I have done it
So, first find out the simplest form of the ratios
Hope it helps