Converting 3 1/2 into a Decimal: A Step-by-Step Guide
Converting a mixed number like 3 1/2 into a decimal might seem a bit tricky at first, but it's actually quite simple! Here's a breakdown of the process:
Understanding Mixed Numbers
A mixed number combines a whole number (in this case, 3) with a fraction (1/2). To convert this into a decimal, we need to break it down into its individual parts.
Step 1: Convert the Fraction
The first step is to convert the fraction 1/2 into a decimal. Remember that a fraction represents a division. So, 1/2 means 1 divided by 2.
- Divide 1 by 2: 1 ÷ 2 = 0.5
Step 2: Add the Whole Number
Now that we have the decimal equivalent of the fraction (0.5), simply add it to the whole number (3).
- 3 + 0.5 = 3.5
Therefore, 3 1/2 is equivalent to 3.5 as a decimal.
Let's try another example:
Convert 2 3/4 into a decimal:
- Convert the fraction: 3/4 = 3 ÷ 4 = 0.75
- Add the whole number: 2 + 0.75 = 2.75
So, 2 3/4 is equivalent to 2.75 as a decimal.
Key Takeaways:
- To convert a mixed number to a decimal, first, convert the fraction to a decimal.
- Then, add the whole number to the decimal equivalent of the fraction.
Conclusion
Converting a mixed number like 3 1/2 to a decimal is a straightforward process that involves understanding the relationship between fractions and decimals. By following these steps, you can easily convert any mixed number into its decimal form.