express the ratio of the following in lowest terms
20mins to 3hours
36out of 40
4months to 5years
6days to 2week
3litters of orange to 12 litters of water
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express the ratio of the following in lowest terms
20mins to 3hours
36out of 40
4months to 5years
6days to 2week
3litters of orange to 12 litters of water
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Answer:
1) 20 minutes to 3 hours
Convert 3 hours first into minutes.
If 1 hour= 60 minutes,then multiply each side by 3 so:
(3) 1 hour = (3) 60 minutes -> 3 hours = 180 mins.
The ratio now is 20 minutes to 180 minutes.
Now find the GCF,the GCF is 20 so divide both sides by 20.
20 mins = 180 mins -> 1 min = 9 mins
20 20
Use a calculator if you want so the lowest term of 20 minutes to 3 hours is 1 minute to 9 minutes
2) 36 out of 40
No conversions were needed so proceed by dividing them to their GCF which is 4
36 out of 40 -> 9 out of 10
4 4
Calculate it to confirm. So the lowest term of 36 out of 40 is 9 out of 10
3) 4 months to 5 years
Convert 5 years first into months.
If 1 year= 12 months,then multiply each side by 5 so:
(5) 1 year = (5) 12 months -> 5 years = 60 months
The ratio now is 4 months to 60 months.
Now find the GCF,the GCF is 4 so divide both sides by 4.
4 mnths = 60 mnths-> 1 mnth = 15 mnths
4 4
Use a calculator if you want so the lowest term of 4 months to 5 years is 1 month to 15 months
(15 months can be written as 1 ¼ year so it's up to you whether what unit you should use)
4) 6 days to 2 weeks
Convert 2 weeks first into days.
If 1 week= 7 days,then multiply each side by 2 so:
(2) 1 week = (2) 7 days -> 2 weeks = 14 days
The ratio now is 6 days to 14 days.
Now find the GCF,the GCF is 2 so divide both sides by 2.
6 days = 14 days -> 3 days = 7 days
2 2
Use a calculator if you want so the lowest term of 6 days to 2 weeks is 3 days to 7 days
(7 days can be written as 1 week so it's up to you whether what unit you should use)
5) 3 liters of orange to 12 liters of water
No conversions were needed since they are on the same unit. Now proceed by dividing them to their GCF which is 3
3 liters to 12 liters -> 1 liter to 4 liters
3 3
Calculate it to confirm. So the lowest term of 3 liters of orange to 12 liters of water is 1 liter of orange to 4 liters of water.
That's all and thank you!