Convert 3 4 1 5 Into A Fraction Easily Explained
Table of Contents :
To convert the mixed number (3 \frac{4}{5}) into a fraction, follow these simple steps that are easy to understand. We will break it down into manageable parts to ensure clarity.
What is a Mixed Number?
A mixed number is a whole number combined with a proper fraction. In this case, (3 \frac{4}{5}) consists of:
- Whole Number: 3
- Fraction: ( \frac{4}{5} )
Why Convert to a Fraction?
Converting a mixed number to an improper fraction can make it easier to perform operations like addition, subtraction, multiplication, or division with other fractions.
Steps to Convert (3 \frac{4}{5}) into an Improper Fraction
To convert a mixed number to an improper fraction, you can follow these steps:
-
Multiply the Whole Number by the Denominator:
- Here, multiply the whole number (3) by the denominator of the fraction (5).
- (3 \times 5 = 15)
-
Add the Numerator:
- Now, take the result from step 1 and add the numerator of the fraction (4).
- (15 + 4 = 19)
-
Write the Result Over the Original Denominator:
- Place the result from step 2 over the original denominator (5).
- Therefore, (3 \frac{4}{5} = \frac{19}{5})
Final Result
So, the mixed number (3 \frac{4}{5}) converts to the improper fraction:
[ \frac{19}{5} ]
Table Summary of Steps
To summarize the conversion process, here’s a quick reference table:
<table> <tr> <th>Step</th> <th>Description</th> <th>Calculation</th> </tr> <tr> <td>1</td> <td>Multiply the whole number by the denominator</td> <td>3 × 5 = 15</td> </tr> <tr> <td>2</td> <td>Add the numerator</td> <td>15 + 4 = 19</td> </tr> <tr> <td>3</td> <td>Write the result over the original denominator</td> <td>19/5</td> </tr> </table>
Important Notes
Converting mixed numbers to improper fractions is particularly useful in algebra and solving equations involving fractions. It simplifies calculations and reduces the chances of making errors.
Example Problems
Problem 1: Convert (2 \frac{3}{7})
-
Multiply the whole number by the denominator:
- (2 \times 7 = 14)
-
Add the numerator:
- (14 + 3 = 17)
-
Write the result over the denominator:
- (2 \frac{3}{7} = \frac{17}{7})
Problem 2: Convert (5 \frac{1}{4})
-
Multiply the whole number by the denominator:
- (5 \times 4 = 20)
-
Add the numerator:
- (20 + 1 = 21)
-
Write the result over the denominator:
- (5 \frac{1}{4} = \frac{21}{4})
Conclusion
Converting a mixed number into an improper fraction is a straightforward process that can be accomplished through multiplication and addition. With practice, it becomes easier to perform such conversions quickly and accurately. If you encounter more mixed numbers, just apply the same steps, and you'll achieve the proper improper fraction every time! 😊