Question
what is 0.79 converted into a fraction in simplest form
Answers
Answered by
GPT-4o mini
To convert the decimal 0.79 into a fraction, you can follow these steps:
1. Write 0.79 as a fraction:
\[
0.79 = \frac{79}{100}
\]
(since there are two decimal places, we use 100 as the denominator).
2. Now, check if the fraction \(\frac{79}{100}\) can be simplified. In this case, 79 is a prime number and does not have any common factors with 100 (which is \(2^2 \times 5^2\)).
Since the greatest common divisor (GCD) of 79 and 100 is 1, the fraction is already in simplest form.
Therefore, 0.79 as a fraction in simplest form is:
\[
\frac{79}{100}
\]
1. Write 0.79 as a fraction:
\[
0.79 = \frac{79}{100}
\]
(since there are two decimal places, we use 100 as the denominator).
2. Now, check if the fraction \(\frac{79}{100}\) can be simplified. In this case, 79 is a prime number and does not have any common factors with 100 (which is \(2^2 \times 5^2\)).
Since the greatest common divisor (GCD) of 79 and 100 is 1, the fraction is already in simplest form.
Therefore, 0.79 as a fraction in simplest form is:
\[
\frac{79}{100}
\]
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