3 years ago

5.27 repeating as a mixed number in simplest form

Mathematics

1 answer:

charle [14.2K]3 years ago

6 0

Hey there! I'm happy to help!

Let's call our fraction x.

x=5.2727272727......

We want to get rid of the repeating decimals. If we multiply our fraction by 100, we have that 100x=527.27272727.....

100x=527.2727272727....

x=5.27272727....

If we subtract these equations, the repeating stuff will be gone and we can solve for x.

99x=522

We divide both sides by 99.

x=522/99= 58/11= 5 3/11.

Have a wonderful day! :D

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