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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.