Dividing Mixed Numbers: 1 1/5 ÷ 1 4/5
In this article, we will explore how to divide mixed numbers, specifically 1 1/5 divided by 1 4/5.
Understanding Mixed Numbers
Before we dive into the division, let's quickly review what mixed numbers are. A mixed number is a combination of a whole number and a fraction. For example, 1 1/5 is a mixed number with a whole number part of 1 and a fractional part of 1/5.
Dividing Mixed Numbers
To divide mixed numbers, we need to follow these steps:
Step 1: Convert Mixed Numbers to Improper Fractions
First, we need to convert both mixed numbers to improper fractions.
1 1/5 = 6/5 1 4/5 = 9/5
Step 2: Divide Improper Fractions
Now, we can divide the two improper fractions:
(6/5) ÷ (9/5) = ?
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply:
(6/5) × (5/9) = ?
Step 3: Multiply Fractions
Now, we can multiply the numerators and denominators separately:
(6 × 5) / (5 × 9) = 30/45
Step 4: Simplify the Fraction
We can simplify the fraction by dividing both numerator and denominator by their greatest common divisor (GCD), which is 15:
30 ÷ 15 = 2 45 ÷ 15 = 3
So, the final result is:
2/3
Conclusion
In conclusion, 1 1/5 divided by 1 4/5 is equal to 2/3. By following these steps, we can divide mixed numbers and simplify the result to a proper fraction.
