1.21(21 repeating) as a fraction?

dimenjaurfb

dimenjaurfb

Answered question

2023-02-12

1.21(21 repeating) as a fraction?

Answer & Explanation

Tyree Hayes

Tyree Hayes

Beginner2023-02-13Added 8 answers

Expressing 1.21(21 repeating) as a fraction.
First, write (21 repeating) as 1.21¯.
Let x=1.21
Next, multiply each side by 100 giving:
100x=121.21
Then subtract each side of the first equation from each side of the second equation giving:
100x-x=121.21-1.21(100-1)x=12099x=120[Dividebothsidesby99]99x99=12099x=3×403×33[Canceloutthecommonterm]x=4033
Hence, 1.21(21 repeating) as a fraction is 4033.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?