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Solution for the Problem 10 - Fractions
Answer:
9998/9999 is bigger than 5550/5551.Solution:
Consider the first fraction: 5550/5551.
We can rewrite this as:
(5551 – 1)/5551 = 1 – 1/5551.
Similarly, for the second fraction we can write:
(9999 – 1)/9999 = 1 – 1/9999.
Since
1/9999 < 1/5551,
then
1 – 1/5551 < 1 – 1/9999.
Hence,
9998/9999 > 5550/5551.
|
Name
|
Vivian Feig |
|
State/Country
|
New York |
|
Age
|
9 |
| School | Roaring Brook |
|
Solution
|
For 5550/5551, it takes 1/5551 more to get to one whole. For 9998/9999, it takes 1/9999 more to reach a whole. Since 1/9999 is smaller than 1/5551, it means that it will take less to get from 9998/9999 to a whole than 5550/5551. That also means that 9998/9999 is bigger. |
|
Grade
|
4 |
| I play piano and my two favorite subjects are math and writing |
|
Name
|
Eijori |
|
State/Country
|
Japan |
|
Age
|
13 |
| School | Yoshii Junior HIgh |
|
Solution
|
9998/9999 is bigger, because the amount subtracted from the whole is less. |
|
Grade
|
7 |
| I like milk. |