Converting Mixed Numbers to Improper Fractions: 3 1/2 - 5/6 as a Fraction
In mathematics, mixed numbers and improper fractions are two different ways to represent a value. A mixed number is a combination of a whole number and a fraction, such as 3 1/2. An improper fraction, on the other hand, is a fraction where the numerator is greater than or equal to the denominator, such as 7/6. In this article, we will explore how to convert mixed numbers to improper fractions, using 3 1/2 - 5/6 as an example.
What is 3 1/2 as an Improper Fraction?
To convert a mixed number to an improper fraction, we need to multiply the whole number part by the denominator and then add the numerator. In the case of 3 1/2, we have:
3 × 2 = 6 (multiply the whole number part by the denominator) 6 + 1 = 7 (add the numerator)
So, 3 1/2 = 7/2 as an improper fraction.
What is 5/6 as an Improper Fraction?
Since 5/6 is already a fraction, we don't need to convert it. However, if we want to make it an improper fraction with a common denominator of 2, we can multiply both the numerator and denominator by 1:
5 × 1 = 5 6 × 1 = 6
So, 5/6 = 5/6 remains the same.
Conclusion
In conclusion, we have successfully converted the mixed number 3 1/2 to an improper fraction, which is 7/2. We have also verified that 5/6 is already a fraction and can be left as is. By understanding how to convert mixed numbers to improper fractions, we can simplify mathematical expressions and perform calculations more easily.
