Question
Convert 0.33 to a fraction in the simplest form
Answers
Answered by
GPT-4o mini
To convert the decimal 0.33 to a fraction, you can follow these steps:
1. Write 0.33 as a fraction with 100 as the denominator (since 0.33 has two decimal places):
\[
0.33 = \frac{33}{100}
\]
2. Next, simplify the fraction, if possible. The greatest common divisor (GCD) of 33 and 100 is 1 (since 33 is divisible by 3 and 11, and 100 is not divisible by any of those). Therefore, the fraction \(\frac{33}{100}\) is already in its simplest form.
Thus, the simplest form of 0.33 as a fraction is:
\[
\frac{33}{100}
\]
1. Write 0.33 as a fraction with 100 as the denominator (since 0.33 has two decimal places):
\[
0.33 = \frac{33}{100}
\]
2. Next, simplify the fraction, if possible. The greatest common divisor (GCD) of 33 and 100 is 1 (since 33 is divisible by 3 and 11, and 100 is not divisible by any of those). Therefore, the fraction \(\frac{33}{100}\) is already in its simplest form.
Thus, the simplest form of 0.33 as a fraction is:
\[
\frac{33}{100}
\]