fractional notation of 10.6 repetend?

Question

can anybody held me find the fractional notation of 10.6 repetend? also, for future reference, can you tell me how to find the answer?

Answer 1

10 2/3



You kind of get to know these after a while... .333 repeating is 1/3, .666 repeating is 2/3.



Just divide 2 by 3 using long division and you'll see.



I don't know if this is an "official" way to figure this out, but if you just substitute .999 repeating for 1, (which is pretty much the same as 1, since the fractional difference is infinitesimally small).



You recall that .6 = 6/10, so



0.6 (repeating) is written as



.6 (repeating)

------------------

1.0



Now, subbing in .9(repeating for 1), 0.6 (repeating) can be expressed as



.6 (repeating)

--------------------- -- which reduces to 2/3.

.9 (repeating)



Hope that helps.

Answer 2

10.6 = 10 and 6 tenths or 10 6/10 or 10 3/5 or 53/5



each decimal place represents a number in order



tens, hundreds, thousands etc.



so 10.06 would have been 10 and 6 hundreds or 10 6/100 or 10 3/50



i hope that helps.

Answer 3

Do you mean 10.6666... repeating? If so, it is 10 2/3



I can't really tell you a formula for solving that, you kinda have to memorize the repeating decimals. 0.33333... is 1/3, 0.66666... is 2/3, 0.166666... is 1/6, 0.083333... is 1/12, etc..