how do u convert a decimal into a fraction

To convert a decimal into a fraction, you can follow these steps:

1. **Identify the decimal part:** Start by identifying the digits after the decimal point.

2. **Count the decimal places:** Determine how many digits are to the right of the decimal point. This will help you find the denominator of the fraction.

3. **Write the decimal as a fraction:** Write the decimal number as a fraction with the given decimal part as the numerator and a denominator based on the number of decimal places:
   - If there is 1 decimal place, the denominator is 10.
   - If there are 2 decimal places, the denominator is 100.
   - If there are 3 decimal places, the denominator is 1000, and so on.

4. **Simplify the fraction:** Reduce the fraction to its simplest form by dividing both the numerator and the denominator by their greatest common divisor (GCD).

### Example

Let's convert the decimal 0.75 into a fraction:

1. **Identify the decimal part:** 0.75
2. **Count the decimal places:** There are 2 decimal places.
3. **Write as a fraction:** \( \frac{75}{100} \)
4. **Simplify the fraction:** The GCD of 75 and 100 is 25, so divide both numerator and denominator by 25:

   \[ \frac{75}{100} = \frac{75 \div 25}{100 \div 25} = \frac{3}{4} \]

So, 0.75 as a fraction is \( \frac{3}{4} \).

Would you like further details or have any questions?

Here are some related questions you might find interesting:

1. How do you find the greatest common divisor (GCD) of two numbers?
2. How do you convert a repeating decimal into a fraction?
3. What are some examples of terminating and non-terminating decimals?
4. Can all decimals be converted into fractions?
5. How do you convert a fraction back into a decimal?
6. What are mixed numbers, and how do you convert them to improper fractions?
7. How do you add or subtract fractions with different denominators?
8. How do you multiply and divide fractions?

**Tip:** For repeating decimals, use algebraic methods to convert them into fractions by setting up equations that eliminate the repeating part.

Learn how to convert decimals into fractions with our step-by-step guide. Understand the process, including identifying decimal parts, counting decimal places, and simplifying fractions. Example provided: converting 0.75 to 3/4. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation