7 1/6 ÷ 1 1/5: How to Divide Mixed Numbers
What is the Division of Mixed Numbers?
In mathematics, dividing mixed numbers is an essential concept in understanding fractions. It involves dividing a mixed number by another mixed number. In this article, we will explore the division of 7 1/6 by 1 1/5.
The Problem: 7 1/6 ÷ 1 1/5
To divide 7 1/6 by 1 1/5, we need to follow the correct procedure for dividing mixed numbers.
Step 1: Convert Mixed Numbers to Improper Fractions
First, we need to convert both mixed numbers to improper fractions.
7 1/6 = 43/6
1 1/5 = 6/5
Step 2: Divide the Fractions
Now, we can divide the fractions.
(43/6) ÷ (6/5)
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
(43/6) × (5/6)
Step 3: Simplify the Fraction
Now, we can simplify the fraction.
(43 × 5) / (6 × 6) = 215/36
The Result: 7 1/6 ÷ 1 1/5 = 5 35/36
Therefore, the result of dividing 7 1/6 by 1 1/5 is 5 35/36.
Conclusion
Dividing mixed numbers can seem challenging, but by following the correct procedure, we can simplify the process. By converting mixed numbers to improper fractions, dividing, and then simplifying, we can easily perform division operations on mixed numbers.
