Advertisements
Advertisements
Question
If a : b = 5 : 3, find : `(5a - 3b)/(5a + 3b)`.
Advertisements
Solution
Given, a : b = 5 : 3
`=> a/b = 5/3`
`(5a - 3b)/(5a + 3b) = (5(a/b) - 3)/(5(a/b) + 3)` ...(Dividing each term by b)
= `(5(5/3) - 3)/(5(5/3) + 3)`
= `(25/3 - 3)/(25/3 + 3)`
= `(25 - 9)/(25 + 9)`
= `16/34`
= `8/17`
RELATED QUESTIONS
if `x/a = y/b = z/c` prove that `(ax - by)/((a + b)(x - y)) + (by - cz)/((b + c)(y - z)) + (cz - az)/((c + a)(z - x)) = 3`
Convert the following percentage to fractions and ratio:
2.5%
A field is 80 m long and 60 m wide. Find the ratio of its width to its length.
Find: The sub-duplicate ratio of 256: 625
Express the given ratio in its simplest form: `1 1/3:2 1/4:2 1/2`
From the given pairs, find which ratio is larger:
(1:2) or (13:27)
Two numbers are in the ratio 3 : 5 and their sum is 96. The larger number is
If a : b = 9 : 10, find the value of `(2a^2 - 3b^2)/(2a^2 + 3b^2)`
The ratio of 8 books to 20 books is ______.
A ratio can be equal to 1.
