How many times as heavy is the Golden Eagle of 13 9/10 llb as the Red-Tailed Hawk of 3 1/2?
I never know if I have to divide or multiply. How can I tell with this problem?
I have 139/10 / 7/2 then 139/10 x 2/7 = 278/70 if I divide that it will give me 3.9714 how do I get my fraction back. 3 971/1000 is that the answer?
It is like this one as well?
How many times as heavy is the Golden Eagle of 13 9/10 as the Northern Bald Eagle of 9 9/10?
I have 139/10 / 99/10, with cross reduce it equals, 139/99 if I divide those it gives me 1.4040.
Am I any where near the correct answer?
Hello people in 2020
3.9
To determine whether to divide or multiply in these types of problems, you need to understand the relationship being described. In both questions, the comparison is asking "how many times as heavy is one bird compared to the other?" This means you need to find the ratio of the weight of the Golden Eagle to the weight of the other bird.
Let's break it down step by step:
1. In the first question, the Golden Eagle weighs 13 9/10 llb, and the Red-Tailed Hawk weighs 3 1/2 llb.
2. To find the ratio, divide the weight of the Golden Eagle by the weight of the Red-Tailed Hawk: (13 9/10) ÷ (3 1/2).
3. Convert the mixed numbers to improper fractions: (139/10) ÷ (7/2).
4. When dividing fractions, you multiply the first fraction by the reciprocal of the second fraction: (139/10) x (2/7).
5. Multiply the numerators (139 x 2) to get 278, and multiply the denominators (10 x 7) to get 70: 278/70.
6. Simplify the fraction if possible. In this case, 278/70 can be simplified by dividing both the numerator and denominator by 2: 139/35.
So the Golden Eagle is 139/35 times as heavy as the Red-Tailed Hawk.
Regarding fraction conversion, to turn the decimal 3.9714 into a fraction, you have correctly identified that it is 3 971/1000.
Applying these steps to the second question:
1. The Golden Eagle weighs 13 9/10, and the Northern Bald Eagle weighs 9 9/10.
2. Divide the weight of the Golden Eagle by the weight of the Northern Bald Eagle: (13 9/10) ÷ (9 9/10).
3. Convert the mixed numbers to improper fractions: (139/10) ÷ (99/10).
4. Cross-reduce the fraction: (139/99).
5. Again, we simplify the fraction if possible. 139/99 cannot be simplified further.
Therefore, the Golden Eagle is 139/99 times as heavy as the Northern Bald Eagle.
You were on the right track with your calculations, but it seems there was a slight error when simplifying the fractions. Remember to reduce fractions to their simplest form when possible.
Let's change these numbers to decimals -- makes it much easier.
13.9 / 3.5 = = 3.97
The eagle is almost 4 times as heavy as the hawk.
So the first one is 4 llbs and the second one is 4llbs?
It's not 4 lbs. Please read my answer.
I'll let you do the bald eagle question.