Write the ratio in each case:
6 in to 3ft I don't understand how the answer is 1/6. What do you do to get that?
50 hours to 3 days. I don't understand how the answer is 25/36. What do you do to get that?
Thank you for your help. It is greatly appreciated.
You need to convert to inches in the first problem.
3 ft = 36 inches
6/36 = 1/6
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3 days = 72 hours
50/72 = 25/36
To find the ratio in each case, you need to compare the two quantities and express their relative values. Let's break down how to get the ratios step by step:
1. 6 inches to 3 feet:
To find the ratio, you need to convert the units to the same measurement. In this case, you can convert 6 inches to feet by dividing it by 12 since there are 12 inches in a foot. So, 6 inches is equal to 6/12 or 1/2 feet.
Now, you can compare the two quantities: 1/2 feet to 3 feet. To simplify the ratio, divide both quantities by the smallest common factor. In this case, you can divide both by 1/2 (or multiply by its reciprocal, 2). So, the ratio is 1/2 ÷ 1/2 = 1/2 × 2/1 = 1/1 which simplifies to 1/1 or 1:1.
Therefore, the ratio is 1:1 or 1/1.
2. 50 hours to 3 days:
To find the ratio, you need to convert the units to the same measurement. Since there are 24 hours in a day, you can convert 3 days to hours by multiplying it by 24. So, 3 days is equal to 3 × 24 = 72 hours.
Now, you can compare the two quantities: 50 hours to 72 hours. To simplify the ratio, divide both quantities by the smallest common factor. In this case, you can divide both by 2. So, the ratio is 50/2 : 72/2 = 25 : 36.
Therefore, the ratio is 25:36 or 25/36.
I hope this helps! Let me know if you have any further questions.