How do you convert 0.325 (25 being repeated) to a fraction?
2 Answers
Explanation:
A common notation to denote a repeating decimal is to put a bar over the repeating sequence. In this case, we would write the number in question as
The trick we will use is to multiply by a power of
Let
Multiply by
#0.3bar(25) = 161/495#
Explanation:
#(1000-10)*0.3bar(25) = 325.bar(25) - 3.bar(25) = 322#
So, dividing both sides by
#0.3bar(25) = 322/(1000-10) = 322/990 = 161/495#
Why
#1000-10 = 10 (100-1)#
The initial factor of
The