+0

0
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$$Express 0.5\overline{10} as a common fraction.$$

off-topic
Aug 31, 2020
edited by Guest  Aug 31, 2020
edited by Guest  Aug 31, 2020
edited by Guest  Aug 31, 2020

#1
0

0.5/10= 5/100 so 1/20

Aug 31, 2020
#2
+1034
+1

@OP: I'm not sure why you posted this as off-topic

@guest that answered: I'm not sure if you can see the LaTeX, but \overline{} means "repeating decimal", not fraction. (the command for fraction is \frac{}{} or \dfrac{}{} depending on what size you want it to be)

Because my LaTeX is not working, I will do my best to write the fractions and repeating decimals.

We want to convert this to a fraction:

––

0.510, which is 0.51010101010101010101010.....

To begin, let's call this fraction "x". Based on what we know:

1000x = 510.10101010...

10x = 5.101010101010...

Subtract one from the other:

990x = 505

Divide by 990:

x = 505/990 = 101/198

:)

Aug 31, 2020