SOLUTION: complete the number line: 19 1/3 27 __ ___ ___ 57 2/3

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Question 711764: complete the number line:
19 1/3 27 __ ___ ___ 57 2/3
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The difference between 19%261%2F3 and 27 is 7%262%2F3=23%2F3.
It can be calculated as

It can also be calculated as
27-19%261%2F3=27-20%2B20-19%261%2F3=7%2B2%2F3=7%262%2F3

The difference between 27 and 57%262%2F3 is 30%262%2F3=30%2B2%2F3=90%2F3%2B2%2F3=92%2F3
and that is 4 times 7%262%2F3=23%2F3.

Adding 7%262%2F3=23%2F3 each time, you would add it 3 times to get the numbers to fill in the blanks, and a fourth time to get 57%262%2F3.
The sequence is an arithmetic sequence
where each term is the previous one plus 7%262%2F3=23%2F3.
The term after 27 is:

The next term is:

or 104%2F3%2B23%2F3=highlight%28127%2F3%29=126%2F3%2B1%2F3=42%2B1%2F3=highlight%2842%261%2F3%29
The next term is:
42%261%2F3%2B7%262%2F3=42%2B1%2F3%2B7%2B2%2F3=49%2B3%2F3=49%2B1=highlight%2850%29
or 127%2F3%2B23%2F3=150%2F3=highlight%2850%29