Converting Mixed Numbers to Improper Fractions: 6 3/4 and 1 7/8
In this article, we will explore how to convert mixed numbers to improper fractions, specifically focusing on the examples of 6 3/4 and 1 7/8.
What are Mixed Numbers and Improper Fractions?
Before we dive into the conversion process, let's quickly review the definitions of mixed numbers and improper fractions.
A mixed number is a combination of a whole number and a proper fraction, such as 2 1/2 or 3 3/4.
An improper fraction, on the other hand, is a fraction where the numerator is greater than or equal to the denominator, such as 3/2 or 5/3.
Converting 6 3/4 to an Improper Fraction
To convert 6 3/4 to an improper fraction, we need to follow these steps:
- Multiply the whole number part (6) by the denominator (4): 6 × 4 = 24
- Add the numerator (3) to the product: 24 + 3 = 27
- Write the result as an improper fraction: 27/4
Therefore, 6 3/4 is equivalent to the improper fraction 27/4.
Converting 1 7/8 to an Improper Fraction
Let's apply the same process to convert 1 7/8 to an improper fraction:
- Multiply the whole number part (1) by the denominator (8): 1 × 8 = 8
- Add the numerator (7) to the product: 8 + 7 = 15
- Write the result as an improper fraction: 15/8
Thus, 1 7/8 is equivalent to the improper fraction 15/8.
Conclusion
In conclusion, we have successfully converted the mixed numbers 6 3/4 and 1 7/8 to their equivalent improper fractions, 27/4 and 15/8, respectively. This skill is essential in various mathematical operations, such as adding, subtracting, multiplying, and dividing fractions.
