Question
0.1213 change to a faction
Answers
GPT-4o mini
To convert the decimal 0.1213 into a fraction, you can follow these steps:
1. Write the decimal as a fraction with the decimal part as the numerator and 1 as the denominator, adjusted according to the number of decimal places:
\[
0.1213 = \frac{1213}{10000}
\]
2. Now, simplify the fraction if possible. To do this, find the greatest common divisor (GCD) of 1213 and 10000.
- The number 1213 is a prime number, and the only divisors of 10000 are powers of 2 and 5 (since \(10000 = 10^4 = 2^4 \times 5^4\)).
- Since 1213 has no common factors with 10000, the GCD is 1.
3. Therefore, the fraction \(\frac{1213}{10000}\) is already in its simplest form.
Thus, the decimal 0.1213 as a fraction is:
\[
\frac{1213}{10000}
\]
1. Write the decimal as a fraction with the decimal part as the numerator and 1 as the denominator, adjusted according to the number of decimal places:
\[
0.1213 = \frac{1213}{10000}
\]
2. Now, simplify the fraction if possible. To do this, find the greatest common divisor (GCD) of 1213 and 10000.
- The number 1213 is a prime number, and the only divisors of 10000 are powers of 2 and 5 (since \(10000 = 10^4 = 2^4 \times 5^4\)).
- Since 1213 has no common factors with 10000, the GCD is 1.
3. Therefore, the fraction \(\frac{1213}{10000}\) is already in its simplest form.
Thus, the decimal 0.1213 as a fraction is:
\[
\frac{1213}{10000}
\]