Converting Mixed Numbers to Improper Fractions: 1 2/9 and 2 2/3
In this article, we will explore how to convert mixed numbers to improper fractions, specifically focusing on the examples of 1 2/9 and 2 2/3.
What are Mixed Numbers and Improper Fractions?
A mixed number is a combination of a whole number and a proper fraction. For instance, 1 2/9 and 2 2/3 are mixed numbers. On the other hand, an improper fraction is a fraction where the numerator is greater than or equal to the denominator. Improper fractions can be simplified to mixed numbers, and vice versa.
Converting 1 2/9 to an Improper Fraction
To convert the mixed number 1 2/9 to an improper fraction, we need to follow these steps:
Step 1: Multiply the whole number part by the denominator
1 × 9 = 9
Step 2: Add the numerator of the fraction part to the product
9 + 2 = 11
Step 3: Write the result as an improper fraction
The improper fraction equivalent to 1 2/9 is 11/9.
Converting 2 2/3 to an Improper Fraction
To convert the mixed number 2 2/3 to an improper fraction, we need to follow the same steps:
Step 1: Multiply the whole number part by the denominator
2 × 3 = 6
Step 2: Add the numerator of the fraction part to the product
6 + 2 = 8
Step 3: Write the result as an improper fraction
The improper fraction equivalent to 2 2/3 is 8/3.
Conclusion
In conclusion, we have successfully converted the mixed numbers 1 2/9 and 2 2/3 to their equivalent improper fractions, which are 11/9 and 8/3, respectively. This process can be applied to any mixed number to convert it to an improper fraction.
