Half Of 5 3/4: Simple Calculation Made Easy
Table of Contents :
To find half of (5 \frac{3}{4}), we’ll break down the steps clearly to make it easy to understand. Whether you are a student learning about fractions or just someone who wants to brush up on their math skills, this article will guide you through the process step by step. So, let’s dive in! 🌊
Understanding the Mixed Number
First, we need to comprehend what a mixed number is. A mixed number consists of a whole number and a fraction. In our case, (5 \frac{3}{4}) consists of:
- Whole number: 5
- Fraction: (\frac{3}{4})
Before we calculate half of this mixed number, it's useful to convert it into an improper fraction.
Converting a Mixed Number to an Improper Fraction
To convert a mixed number into an improper fraction, we can use the formula:
[ \text{Improper Fraction} = ( \text{Whole Number} \times \text{Denominator} ) + \text{Numerator} ]
In our case:
- Whole Number: 5
- Denominator: 4
- Numerator: 3
Plugging in the values, we get:
[ \text{Improper Fraction} = (5 \times 4) + 3 = 20 + 3 = 23 ]
Therefore, we can express (5 \frac{3}{4}) as (\frac{23}{4}).
Finding Half of (\frac{23}{4})
To find half of (\frac{23}{4}), we multiply it by (\frac{1}{2}):
[ \text{Half} = \frac{23}{4} \times \frac{1}{2} = \frac{23 \times 1}{4 \times 2} = \frac{23}{8} ]
Converting the Improper Fraction Back to a Mixed Number
Now we have ( \frac{23}{8} ), which is an improper fraction. We can convert it back into a mixed number by dividing the numerator by the denominator:
[ 23 \div 8 = 2 \quad \text{(whole number)} ] The remainder is: [ 23 - (2 \times 8) = 23 - 16 = 7 \quad \text{(remainder)} ]
So, we can express (\frac{23}{8}) as a mixed number:
[ 2 \frac{7}{8} ]
Final Result
In summary, half of (5 \frac{3}{4}) is:
[ \text{Half of } 5 \frac{3}{4} = 2 \frac{7}{8} ]
Key Takeaways
- To find half of a mixed number, first convert it to an improper fraction.
- Multiply the improper fraction by (\frac{1}{2}).
- Convert the result back to a mixed number if necessary.
Now you can confidently handle similar fraction problems! Keep practicing, and math will become easier with time! 😊