Advertisements
Advertisements
Question
Choose the correct statement:
Options
(5 : 8) > (3 : 4)
(5 : 8) < (3 : 4)
two ratios cannot be compared
Solution
(5 : 8) < (3 : 4)
We can write
(5:8) = `5/8` and (3:4) = `3/4`
Making the denominator equal:
`5/8` and `(3 × 2)/(4 × 2) = 6/8`
As 6 > 5, `5/8 < 3/4`
APPEARS IN
RELATED QUESTIONS
If y is the mean proportional between x and y; show that y(x+z) is the mean p roporti ona I between x2+ y2 and y2+ z2
What quantity must be added to each term of the ratio a + b: a - b to make it equal to (a + b)2 : (a - b)2 ?
Find the fourth proportional to 1.5, 2.5, 4.5
Find the value of x in each of the following proportion:
27 : x : : 63 : 84
If ax = by = cz; prove that `x^2/"yz" + y^2/"zx" + z^2/"xy" = "bc"/a^2 + "ca"/b^2 + "ab"/c^2`
If a, b, c and d are in proportion, prove that: (5a + 7b) (2c – 3d) = (5c + 7d) (2a – 3b).
Choose the correct answer from the given options :
The mean proportional between `(1)/(2)` and 128 is
Find two numbers whose mean proportional is 16 and the third proportional is 128.
If `(a + b)^3/(a - b)^3 = 64/27`.
- Find `(a + b)/(a - b)`
- Hence using properties of proportion, find a : b.
The mean proportion between `3 + 2sqrt(2)` and `3 - 2sqrt(2)` is ______.
