How to Convert 0.15 to a Fraction
A decimal can look complicated until you notice what its digits are actually saying. In 0.15, the digits tell us we have 15 hundredths. So, what is 0.15 as a fraction?
0.15 = 3/20
Here’s the quick conversion:
The conversion is based on place value.
In 0.15, the 5 is in the hundredths place. Therefore, 0.15 means 15 hundredths.
That gives us: 0.15 = 15/100
Now simplify 15/100 by dividing both numbers by their greatest common factor, 5:
15 ÷ 5 = 3 & 100 ÷ 5 = 20
So: 15/100 = 3/20. Therefore: 0.15 = 3/20
Why Is 3/20 the Simplest Form?
A fraction is in simplest form when its numerator and denominator have no common factor greater than 1.
For 3/20:
- Factors of 3: 1, 3
- Factors of 20: 1, 2, 4, 5, 10, 20
Their only common factor is 1.
So 3/20 cannot be reduced any further.
That is why 0.15 = 3/20 in simplest form.
Is 0.15 the Same as 0.15 Repeating?
No. This is an important distinction.
0.15 is a terminating decimal because it ends after two decimal places.
But 0.15 repeating means:
0.15151515…
The digits 15 continue forever, so it represents a different number. See below to understand it even better:
The dots in 0.151515… matter. They show that the digits continue indefinitely.
So remember: 0.15 = 3/20, but 0.151515… = 5/33
What Is -0.15 as a Fraction?
A negative decimal can be converted in exactly the same way. The negative sign simply stays with the fraction.
Since: 0.15 = 3/20, we have: -0.15 = -3/20
So, -0.15 as a fraction is -3/20.
Quick Check: Does 3/20 Really Equal 0.15?
Yes. You can verify the answer by dividing the numerator by the denominator:
So the conversion checks out.
🧠 Keep Exploring: More Math Questions
Curious about other everyday math questions? Explore these quick, student-friendly guides.
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Learn the conversion →Final Answer
If you only need the answer: 0.15 as a fraction = 3/20
The easiest conversion to remember is:
0.15 = 15/100 = 3/20
And if you see 0.15 repeating, don’t use the same answer. The repeating decimal 0.151515… = 5/33.
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