whats 13.33333333 into fraction

Question

amistre64 · Answer

13 3/9

anonymous · Answer

i need it in a whole

amistre64 · Answer

then convert it ....

anonymous · Answer

120/9?

anonymous · Answer

can you tell me how you got 13 3/9 please

amistre64 · Answer

:) maybe .. lets see

13 3/9 = 13 1/3

13(3)+1       39+1
------- =  -------- = 40/3
    3                  3

amistre64 · Answer

the trick is in the repeating decimal ...

amistre64 · Answer

13 is gonna be 13 regardless so lets look at the .3333... part

lets rename it:

A = .3333333  ; 
A*10 = 3.333333

10A = 3.33333
-  A =   .33333
----------------
  9A = 3.000000

A =  3/9

amistre64 · Answer

the shortcut is simply take the repeating part; and put that many 9s under it.

.12312312312312...  ; we see that the 123 part is repeating and it has 3 digits

123
--- is its fraction .. reduce as needed
999

anonymous · Answer

ok thanks

anonymous · Answer

13   1/3 or as improper fraction it will be   40/3

amistre64 · Answer

youre welcome :)