7 1/3-6 7/8: Understanding Mixed Numbers and Improper Fractions
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In mathematics, we often come across mixed numbers and improper fractions. In this article, we will explore the concept of 7 1/3-6 7/8 and understand how to subtract mixed numbers and improper fractions.
What are Mixed Numbers and Improper Fractions?
A mixed number is a combination of a whole number and a fraction. For example, 7 1/3 is a mixed number, where 7 is the whole number part and 1/3 is the fraction part.
On the other hand, an improper fraction is a fraction where the numerator is greater than the denominator. For example, 22/3 is an improper fraction.
Subtracting Mixed Numbers and Improper Fractions
To subtract mixed numbers and improper fractions, we need to follow certain steps. Let's use the example of 7 1/3-6 7/8.
Step 1: Convert both numbers to improper fractions
7 1/3 = 22/3 (convert mixed number to improper fraction) 6 7/8 = 55/8 (convert mixed number to improper fraction)
Step 2: Find the least common multiple (LCM) of the denominators
The LCM of 3 and 8 is 24.
Step 3: Convert both improper fractions to have the LCM as the denominator
22/3 = 176/24 (convert 22/3 to have a denominator of 24) 55/8 = 165/24 (convert 55/8 to have a denominator of 24)
Step 4: Subtract the numerators
176 - 165 = 11
Step 5: Write the answer as a mixed number
11/24 = 0 11/24 (convert improper fraction to mixed number)
Therefore, 7 1/3-6 7/8 = 0 11/24.
Conclusion
In conclusion, subtracting mixed numbers and improper fractions requires us to follow a series of steps. By converting to improper fractions, finding the least common multiple, converting to the LCM denominator, subtracting the numerators, and writing the answer as a mixed number, we can easily subtract mixed numbers and improper fractions.
