Add: 2/3 + 2/9 A. 4/9 B. 8/9 C. 2/3 D. 1/3
1 answer:
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9514 1404 393
Answer:
53/99
Step-by-step explanation:
When an n-digit repeat begins at the decimal point, the repeating digits can be placed over an equal number of 9s to make a fraction. Sometimes, that fraction can be reduced to lower terms.
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If the repeat does not start at the decimal point, the conversion can be done as follows.
For a number x with a decimal fraction that has n digits repeating, multiply by 10^n, subtract x and then divide by (10^n -1).
The fraction will be ...
(x·10^n -x)/(10^n -1) . . . where x has n repeating digits in the decimal fraction
Here, that looks like ...