Advertisements
Advertisements
Question
Arrange the following ratios in ascending order of magnitude: 2 : 3, 17 : 21, 11 : 14 and 5 : 7
Advertisements
Solution
Writing the given ratios in fraction
`(2)/(3), (17)/(21), (11)/(14), (5)/(7)`
LCM of 3, 21, 14, 7 = 42
Converting the given ratio as equivalent
`(2)/(3) = (2 xx 14)/(3 xx 14) = (28)/(42) ; (17)/(21) = (17 xx 2)/(21 xx 2) = (34)/(42)`
`(11)/(14) = (11 xx 3)/(14 xx 3) = (33)/(42) ; (5)/(7) = (5 xx 6)/(7 xx 6) = (30)/(42)`
From above, writing in asecnding order,
`(28)/(42), (30)/(42), (33)/(42), (34)/(42)`
or
`(2)/(3), (5)/(7), (11)/(14), (17)/(21)`
or
2 : 3 ; 5 : 7 ; 11 : 14 and 17 : 21.
APPEARS IN
RELATED QUESTIONS
Find the duplicate ratio of `2sqrt(2) : 3sqrt(5)`
Find: The sub-duplicate ratio of 256: 625
Rohit goes to school by car at 60 km per hour and Manoj goes to school by scooty at 40 km per hour. If they both live in the same locality, find the ratio between the time taken by Rohit and Manoj to reach school.
If x, y, and z are in continued proportion, then which of the following is true:
y : x = y : z
Find the triplicate ratio of 13 : 23
Find the ratio of:
2 dozens to a score
Choose the correct answer from the given options :
A ratio equivalent to the ratio `(2)/(3) : (5)/(7)` is
If `a/b = c/d = c/f`, prove that each ratio is `sqrt((3a^2 - 5c^2 + 7e^2)/(3b^2 - 5d^2 + 7f^2)`
Ratio of 3 m to 200 cm = _____________
27 cm2 : 57 cm2 = 18 cm : 38 cm
