How to convert 3.3 (3 repeating) as a improper fraction?

Cadence Davila

Cadence Davila

Answered question

2023-01-11

How to convert 3.3 (3 repeating) as a improper fraction?

Answer & Explanation

blatt3qk

blatt3qk

Beginner2023-01-12Added 11 answers

Step-1: Convert the following decimal to a fraction:
Let x=3.333...
x=3.3 ...(i)
10x=33.3 ...(ii) [Number of repeating digits after decimal is 1, so multiply both sides by 101=10 ]
Step-2: Subtracting (i) from (ii):
10x-x=33.3-3.3
9x=30
x=309 [Dividing both sides by 9]
x=103
Therefore, the required improper fraction is 113.

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