Converting Mixed Numbers to Improper Fractions: 2 1/4 and 1 1/3
In mathematics, mixed numbers and improper fractions are two ways to express fractional values. In this article, we will explore how to convert two mixed numbers, 2 1/4 and 1 1/3, into improper fractions.
What are Mixed Numbers and Improper Fractions?
A mixed number is a combination of a whole number and a fraction. For example, 2 1/4 is a mixed number, where 2 is the whole number and 1/4 is the fraction.
An improper fraction, on the other hand, is a fraction where the numerator is greater than or equal to the denominator. For example, 5/4 is an improper fraction.
Converting 2 1/4 to an Improper Fraction
To convert a mixed number to an improper fraction, we need to follow these steps:
- Multiply the whole number part (2) by the denominator (4).
- Add the numerator (1) to the product.
- Write the result as a fraction with the denominator remaining the same.
Let's apply these steps to 2 1/4:
- Multiply 2 by 4: 2 × 4 = 8
- Add 1 to 8: 8 + 1 = 9
- Write the result as a fraction: 9/4
Therefore, 2 1/4 is equal to the improper fraction 9/4.
Converting 1 1/3 to an Improper Fraction
Let's follow the same steps to convert 1 1/3 to an improper fraction:
- Multiply the whole number part (1) by the denominator (3).
- Add the numerator (1) to the product.
- Write the result as a fraction with the denominator remaining the same.
Here's the conversion:
- Multiply 1 by 3: 1 × 3 = 3
- Add 1 to 3: 3 + 1 = 4
- Write the result as a fraction: 4/3
Therefore, 1 1/3 is equal to the improper fraction 4/3.
Conclusion
In conclusion, we have successfully converted the mixed numbers 2 1/4 and 1 1/3 into improper fractions. These conversions are essential in various mathematical operations, such as addition, subtraction, multiplication, and division of fractions. By understanding how to convert mixed numbers to improper fractions, we can simplify complex mathematical problems and obtain accurate results.
