0.083 can be written as a fraction in several ways. Two common methods are using a calculator and multiplying by a power of 10.

### Key Facts

- Method 1: Using Calculator
- Enter 0.083 into a calculator.
- Find the terminating continued fraction expansion for the given number.
- Unwrap the continued fraction to obtain a regular fraction.
- For example, using this method, 0.083 can be converted to 83/1000.

- Method 2: Multiplying by a Power of 10
- Write 0.083 as 0.083/1 to represent it as a fraction.
- Count the number of fractional digits after the decimal point (in this case, 3).
- Multiply the numerator and denominator by 10 raised to the power of the number of fractional digits.
- Simplify the resulting fraction if possible.
- Using this method, 0.083 can be simplified to 83/1000.

### Method 1: Using a Calculator

- Enter 0.083 into a calculator.
- Find the terminating continued fraction expansion for the given number.
- Unwrap the continued fraction to obtain a regular fraction.

For example, using this method, 0.083 can be converted to 83/1000.

### Method 2: Multiplying by a Power of 10

- Write 0.083 as 0.083/1 to represent it as a fraction.
- Count the number of fractional digits after the decimal point (in this case, 3).
- Multiply the numerator and denominator by 10 raised to the power of the number of fractional digits.
- Simplify the resulting fraction if possible.

Using this method, 0.083 can be simplified to 83/1000.

## References

- How do you convert 0.83 (3 repeating) to a fraction? | Socratic
- How do you convert 0.83 (3 being repeated) to a fraction? | Socratic
- What is 0.083 as a fraction? | Thinkster Math

## FAQs

**1. What is 0.083 as a fraction?**

Answer: 0.083 can be expressed as the fraction 83/1000.

**2. How do I convert 0.083 to a fraction?**

Answer: You can convert 0.083 to a fraction by multiplying both the numerator and denominator by 1000, which gives you 83/1000.

**3. Can I use a calculator to convert 0.083 to a fraction?**

Answer: Yes, you can use a calculator to convert 0.083 to a fraction. Simply enter 0.083 into the calculator and then press the “fraction” button. The calculator will display the fraction 83/1000.

**4. Is there more than one way to convert 0.083 to a fraction?**

Answer: Yes, there are multiple ways to convert 0.083 to a fraction. One way is to use the method described above, which involves multiplying both the numerator and denominator by 1000. Another way is to use long division to divide 0.083 by 1 to get the fraction 83/1000.

**5. Can I simplify the fraction 83/1000?**

Answer: Yes, you can simplify the fraction 83/1000 by dividing both the numerator and denominator by their greatest common factor, which is 1. This gives you the simplified fraction 83/1000.

**6. What is the decimal equivalent of the fraction 83/1000?**

Answer: The decimal equivalent of the fraction 83/1000 is 0.083.

**7. How do I convert other decimals to fractions?**

Answer: To convert other decimals to fractions, you can follow the same steps as outlined above. First, multiply both the numerator and denominator of the decimal by a power of 10 that is equal to the number of decimal places in the decimal. Then, simplify the resulting fraction if possible.

**8. Where can I learn more about converting decimals to fractions?**

Answer: There are many resources available online and in libraries that can teach you more about converting decimals to fractions. Some good places to start include Khan Academy, Math is Fun, and Purplemath.