Question

Write the repeating decimal 0.1515... as a fraction

pls explain

Answer 1

Answer:

533

Explanation:

We first let 0.¯¯¯¯15 (15 being repeated) be x.

Since x has 2 decimal places recurring, we multiply it by 100.

x=0.151515....
100x=15.151515...

Next, we subtract them.

100x−x=15.151515−0.15151599x=15

Lastly, we divide both sides by 99 to get x as a fraction.

x=1599=533

Answer 2

0.1515 repeating
simplify it to the hundreds

0.15 (simplified)

0.15 = 15/100 (change to fraction)

15/100 = 3/20 (simplest form)


hope this helps