3 equivalent ratios of a) 75:12 b) 3:7 and 5:9
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Answer:hope it helps
Step-by-step explanation:
2:3=
3
2
, 5:8=
8
5
, 75:121=
121
75
and 40:25=
25
40
∴ 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=
3
2
=
3×24200
2×24200
=
72600
48400
5:8=
8
5
=
8×9075
5×9075
=
72600
45375
75:121=
121
75
=
121×600
75×600
=
72600
4500
40:25=
25
40
=
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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