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Recurring decimals to fractions
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Recurring decimals to fractions
What is 0.454545454545454545(recurring) as a fraction?
- 1. Write it as x = 0.4545454545...
- 2. Multiply the decimal by a power of 10 that leaves the bit after the decimal the same
- (x100) 100x = 45.454545...
- 3. Subtract the original number from the new one
- 99x = 45.
- Divide by the number of x
- 45 ÷ 99 = 45/99
- Cancel the fraction
- 5/11
- Cancel the fraction
- 45 ÷ 99 = 45/99
- Divide by the number of x
- 99x = 45.
- 3. Subtract the original number from the new one
- (x100) 100x = 45.454545...
- 2. Multiply the decimal by a power of 10 that leaves the bit after the decimal the same
- 1. Write it as x = 0.4545454545...
0.238383838...
- x = 0.238383838
- You can't get it so that the number is the same on both sides because of the 2.
- 1000x = 238.3838383838
- 10x = 2.38383838
- 990x = 236
- x = 236/990
- 118/445
- x = 236/990
- 990x = 236
- 10x = 2.38383838
- x = 0.238383838
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- GCSE Maths Mind Map on Recurring decimals to fractions, created by Kian Patel on 04/05/2019.
- Created by
- Kian Patel
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- Created by Ellen Billingham · May 11, 2013
- Copied by Kian Patel · May 4, 2019
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