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valina [46]
3 years ago
10

What is the rational number equivalent to 3.24 repeating?

Mathematics
2 answers:
eduard3 years ago
8 0

Answer:

The rational number equivalent to 3.24 repeating is 321/99

Step-by-step explanation:

To convert the decimal number to a rational number we can state this number and its multiples of 10, trying to find two number with identical decimal parts:

n=3.24242424...

10n=32.4242424....

100n=324.2424242...

Now, 100n and n have the same decimal part, then by subtracting these numbers we obtain:

100n-n=324.24242424...-3.24242424... = 321

99n  = 321

n = 321/99

Lesechka [4]3 years ago
4 0
3   24/99 is the mixed number
321/99 is the fraction
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