Convert 5 3 4 To Decimal: Easy Guide And Examples
Table of Contents :
To convert the mixed number (5 \frac{3}{4}) to a decimal, we can break it down into its components and perform some simple calculations. This process is straightforward, and by following the steps outlined below, you'll have a clear understanding of how to make this conversion.
Understanding Mixed Numbers
A mixed number consists of a whole number and a proper fraction. In our case, (5 \frac{3}{4}) has:
- Whole Number: 5
- Fraction: ( \frac{3}{4} )
To convert this mixed number into a decimal, we must first convert the fractional part into a decimal and then add it to the whole number.
Step 1: Convert the Fraction to a Decimal
To convert the fraction ( \frac{3}{4} ) to a decimal, we can divide the numerator (3) by the denominator (4):
[ \frac{3}{4} = 3 \div 4 = 0.75 ]
Step 2: Add the Whole Number
Now that we have converted the fraction to a decimal, we add this result to the whole number:
[ 5 + 0.75 = 5.75 ]
Final Result
Therefore, the mixed number (5 \frac{3}{4}) converts to the decimal 5.75. 🎉
Summary of the Conversion Process
Let's summarize the steps for clarity:
| Step | Action | Result |
|---|---|---|
| 1 | Convert the fraction ( \frac{3}{4} ) to decimal | 0.75 |
| 2 | Add the whole number (5) | 5 + 0.75 = 5.75 |
Additional Examples
To further solidify your understanding of converting mixed numbers to decimals, let’s explore a couple of additional examples:
Example 1: (3 \frac{1}{2})
- Convert ( \frac{1}{2} ) to decimal: [ \frac{1}{2} = 0.5 ]
- Add to whole number (3): [ 3 + 0.5 = 3.5 ]
So, (3 \frac{1}{2} = 3.5) 🎊.
Example 2: (2 \frac{2}{5})
- Convert ( \frac{2}{5} ) to decimal: [ \frac{2}{5} = 0.4 ]
- Add to whole number (2): [ 2 + 0.4 = 2.4 ]
Thus, (2 \frac{2}{5} = 2.4) 🌟.
Conclusion
Converting mixed numbers to decimals is an easy and useful skill. By breaking down the process into simple steps, you can tackle any mixed number conversion with confidence. Whether you're working on math homework, preparing for a test, or just sharpening your math skills, knowing how to convert mixed numbers will serve you well.
Now that you have an understanding of how to convert (5 \frac{3}{4}) and other mixed numbers, you can practice with different fractions and whole numbers to further enhance your skills!