Dividing Fractions: 1/9 ÷ 2/3 Simplified
Introduction
In this article, we will explore how to divide fractions, specifically the problem 1/9 divided by 2/3. Dividing fractions can be a bit tricky, but with the right steps, it's easy to simplify the expression.
The Problem
The problem we want to solve is:
1/9 ÷ 2/3
Step 1: Invert and Multiply
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
So, we invert 2/3 to get 3/2. Now, we can multiply:
1/9 × 3/2
Step 2: Multiply Numerators and Denominators
Next, we multiply the numerators (1 and 3) to get 3, and multiply the denominators (9 and 2) to get 18.
3/18
Step 3: Simplify the Fraction
Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 3.
3 ÷ 3 = 1 18 ÷ 3 = 6
So, the simplified answer is:
1/6
Therefore, 1/9 divided by 2/3 is equal to 1/6.
Conclusion
Dividing fractions may seem daunting at first, but by following these simple steps, you can simplify even the most complex expressions. Remember to invert and multiply, multiply numerators and denominators, and simplify the fraction to get the desired result.
