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murzikaleks [220]
3 years ago
9

Write the repeating decimal 0.1515... as a fraction pls explain

Mathematics
2 answers:
Vaselesa [24]3 years ago
8 0
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
dolphi86 [110]3 years ago
6 0
Answer:

<span>533</span>

Explanation:

We first let <span>0.<span><span>¯¯¯¯</span>15</span></span> (15 being repeated) be x.

Since x has 2 decimal places recurring, we multiply it by <span>100.</span>

<span> x=0.151515....</span>
<span>100x=15.151515...</span>

Next, we subtract them.

<span><span>100x−x=15.151515−0.151515</span><span>99x=15</span></span>

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

<span><span>x=<span>1599</span></span><span>=<span><span>533</span></span></span></span>
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