emohly
emohly emohly
  • 04-01-2021
  • Mathematics
contestada

Express 0.361 recurring as a fraction.
(only the 61 recurs)

Express 0361 recurring as a fraction only the 61 recurs class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 07-01-2021

9514 1404 393

Answer:

  179/495

Step-by-step explanation:

When the repeating decimal starts at the decimal point, the repeating digits can be turned into a fraction by putting them over the same number of 9s. That is, 0.61616161... is equivalent to 61/99.

Here, the repeating part is 1/10 that value, so is 61/990. This is added to the non-repeating part, which is 0.3 = 3/10.

Then the entire decimal is ...

  0.361_61 = 3/10 + 61/990 = (297 +61)/990 = 358/990 = 179/495

Answer Link

Otras preguntas

Which step of mitosis involves the spindle fibers pulling the chromosomes to opposite ends of the cell?
How many inches are in 2540 cm?
which of the following is NOT one of the functions of a colon?
who discovered by aluminun____________________in_______________
A disease related to bacteria within the lungs is______
c-7.6=-4 what is the value of c
Is one period a complete cycle of a graph?
Find y when x equals 10 if y equals eight what x equals 20
When a person convicted of a federal crime has an appeal denied in a federal court, what is the highest level of the judicial system that could hear his or her
after the movie, 99 out of 130 people surveyed said they like the movie. what is the experimental probability that the next person surveyed will say he or she l