How to write3.repeating 7 as a mixed number

Mathematics

1 answer:

ki77a [65]4 years ago

6 0

Hey there! I'm happy to help!

Let's call our fraction x.

x=3.777......

We want to get rid of the repeating stuff. If we multiply our fraction by 10, we get 10x=37.7777.

We see that if we subtract x from 10x, the repeating numbers will be cancelled out. Let's do this.

10x=37.7777

x=3.77777

9x=34

We divide both sides by 9.

x=34/9=3 7/9.

Have a wonderful day! :D

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