121k views
0 votes
How do you rewrite 3.83 repeating as a simplified fraction

User LiveEn
by
6.9k points

1 Answer

5 votes
a) x = 3.838383...
Multiply both sides by 100
b) 100x = 383.838383...

Now subtract a) from b):

100x - x = 383.8383 - 3.8383
99x = 380

Divide both by 99

x = 380/99 = 3.838383....,

User Farjad Hasan
by
7.4k points