Convert the following decimals to reduced fractions 1.27

To convert the decimal \(1.27\) to a fraction and then reduce it to its simplest form, follow these steps:

1. **Write the decimal as a fraction:**
   \[
   1.27 = \frac{127}{100}
   \]
   Here, \(1.27\) has two decimal places, so the denominator is \(100\).

2. **Simplify the fraction:**
   - Find the greatest common divisor (GCD) of 127 and 100. Since 127 is a prime number, it only has 1 and 127 as its divisors, and 100 does not have 127 as a divisor, the GCD is 1.
   - Divide both the numerator and the denominator by their GCD (which is 1 in this case), so the fraction remains the same.

Therefore, the fraction \(\frac{127}{100}\) is already in its simplest form.

The decimal \(1.27\) as a reduced fraction is \(\frac{127}{100}\).

Would you like any more details or have any questions?

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Here are some related questions for further practice:

1. Convert the decimal \(0.75\) to a fraction and simplify.
2. How do you convert \(2.5\) to a fraction and reduce it?
3. What is the fraction form of \(0.125\) in simplest terms?
4. Convert \(3.4\) to a fraction and simplify.
5. How can you express \(0.6\) as a fraction in simplest form?
6. Convert \(0.01\) to a fraction and reduce it.
7. How do you convert a repeating decimal like \(0.333...\) to a fraction?
8. Simplify the fraction obtained from \(5.25\).

**Tip:** When converting decimals to fractions, count the number of decimal places to determine the appropriate power of 10 for the denominator, then simplify the fraction by finding the greatest common divisor.

Learn how to convert the decimal 1.27 to a reduced fraction step-by-step. Understand the concept of converting decimals to fractions, including finding the greatest common divisor (GCD) for simplification. Suitable for students in Grades 6-8.

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