Compare the following ratios:(a) 2:3 and 4:5(b) 5:6 and 16:40(c) 4:10 and 9:30
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1
Answer:
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Step-by-step explanation:
Correct option is
D
40:25
We have,
2:3= 32 , 5:8= 85,75:121= 12175
and 40:25= 2540
∴ The LCM of 3, 8, 121 and 25 is 2×2×2×3×5×5×11×11=72600
Making the denominator of all ratio equal to 72600
2:3= 32= 3×242002×24200
=
72600
48400
5:8= 85= 8×90755×9075= 7260045375
75:121=
121
75
= 121×600
75×600
= 72600
4500
40:25= 2540
= 25×2904
40×2904
= 72600
116160
Now comparing the fractions, get,
72600
116160
>
72600
45375
>
72600
48400
>
72600
4500
Hence, 40:25 is the greatest ratio.
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Answer:
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