Advertisements
Advertisements
Question
If A : B = 3 : 4 and B : C = 6 : 7, find:
- A : B : C
- A : C
Solution
i. A : B : C
`A/B = 3/4`
= `3/4 xx 3/4`
= `9/12`
`B/C = 6/7`
= `6/7 xx 2/2`
= `12/14`
A : B : C = 9 : 12 : 14
ii. A : C
`A/B = 3/4`
`B/C = 6/7`
∴ `A/C = (A/B)/(C/B)`
= `(3/4)/(7/6)`
= `3/4 xx 6/7`
= `9/14`
∴ A : C = 9 : 14
APPEARS IN
RELATED QUESTIONS
Convert the following percentage to fractions and ratio:
125%
If x = `"pab"/("a + b")`, then prove that `("x + pa")/("x - pa") + ("x + pb")/("x - pb") = (2("a"^2 - "b"^2))/"ab"`
Express the following ratios in its simplest form :
`1 1/2:2 1/2`
In a class, the ratio of boys to the girls is 7:8. What part of the whole class are girls?
A bag contains ₹ 1,600 in the form of ₹10 and ₹20 notes. If the ratio between the numbers of ₹10 and ₹20 notes is 2 : 3; find the total number of notes in all.
Find the fourth proportional of `1/3, 2/5 "and" 8.4`
If A : B = 3 : 5 and B : C = 4 : 7, find A : B : C
Write the following ratio in the simplest form:
4 kg : 2 kg 500 g
The length and breadth of a window are in 1m and 70 cm respectively. The ratio of the length to the breadth is _______________
A ratio expressed in lowest form has no common factor other than ______ in its terms.
