Question
what is 0.89 as a fraction in its absolute simplest form
Answers
GPT-4o mini
To convert the decimal 0.89 into a fraction, we can follow these steps:
1. **Write the decimal as a fraction**: \( 0.89 = \frac{89}{100} \).
2. **Simplify the fraction**: To find the simplest form, we need to determine if the numerator (89) and the denominator (100) have any common factors.
- The prime factorization of 100 is \( 2^2 \times 5^2 \).
- The number 89 is a prime number and does not divide evenly by 2 or 5.
Since 89 has no common factors with 100, the fraction \( \frac{89}{100} \) is already in its simplest form.
Thus, \( 0.89 \) as a fraction in its simplest form is \( \frac{89}{100} \).
1. **Write the decimal as a fraction**: \( 0.89 = \frac{89}{100} \).
2. **Simplify the fraction**: To find the simplest form, we need to determine if the numerator (89) and the denominator (100) have any common factors.
- The prime factorization of 100 is \( 2^2 \times 5^2 \).
- The number 89 is a prime number and does not divide evenly by 2 or 5.
Since 89 has no common factors with 100, the fraction \( \frac{89}{100} \) is already in its simplest form.
Thus, \( 0.89 \) as a fraction in its simplest form is \( \frac{89}{100} \).