Question

Write the repeating decimal 0.63333 as afraction

Answer 1

Step-by-step explanation:

just count off the positions after the decimal point.

they go with decreasing negative exponents of ten.

the first position is 1/10.

the second 1/100.

the third 1/1000.

the fourth 1/10000

the fifth 1/100000

and that is how we can easily convert such decimals into fractions.

0.63333 = 63333 / 100000

or were you looking for the infinite decimal ?

that would be 1.9/3 = 19/10 / 3 = 19/30

I found this by simply suspecting that there is a division by 3 involved (due to the 3333333 repeating pattern).

so, by multiplying 0.63333 by 3 we get 1.9.

1.9 = 19/10

and then dividing by 3 gives us 19/30