Converting a decimal into a fraction is a straightforward process that helps in understanding and simplifying numbers. Follow these steps for a smooth conversion:
Step 1: Identify the Decimal
Start with the decimal number you want to convert. For instance, let’s say the decimal is 0.75.
Step 2: Write the Decimal as a Fraction
To express the decimal as a fraction, you need to consider its place value. The decimal 0.75 has two digits after the decimal point:
- The 7 is in the tenths place.
- The 5 is in the hundredths place.
This means that 0.75 can be written as 75/100 because there are two decimal places.
Step 3: Simplify the Fraction
The next step is to simplify the fraction if possible. Both the numerator (75) and the denominator (100) can be divided by their greatest common divisor (GCD), which is 25:
- 75 ÷ 25 = 3
- 100 ÷ 25 = 4
Thus, 75/100 simplifies to 3/4.
Step 4: Final Result
Your final fraction representing the decimal 0.75 is 3/4.
Additional Examples
To reinforce this concept, here are a couple more examples:
- 1.25: Write as 125/100, simplify to 5/4.
- 0.2: Write as 2/10, simplify to 1/5.
Conclusion
In summary, converting decimals to fractions involves determining the decimal’s place value, writing it as a fraction, and simplifying it when possible. With some practice, this process becomes quick and easy!