pieplease29
pieplease29 pieplease29
  • 31-01-2021
  • Mathematics
contestada

what is the rational number equivalent to 3.24​

Respuesta :

strider574
strider574 strider574
  • 31-01-2021

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

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