4/9 Divided by 1/3: Let's Find the Answer
In this article, we will explore the solution to the division problem 4/9 divided by 1/3. To find the answer, we need to understand the concept of dividing fractions.
What does it mean to divide fractions?
Dividing fractions is similar to multiplying fractions, but with a twist. When you divide a fraction by another fraction, you are essentially multiplying the first fraction by the reciprocal of the second fraction.
The formula:
a/b ÷ c/d = a/b × d/c
Applying the formula to our problem:
Now, let's apply the formula to our problem: 4/9 divided by 1/3.
4/9 ÷ 1/3 = 4/9 × 3/1
Multiply the fractions:
To multiply the fractions, we need to multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom), and then simplify the result.
(4 × 3) / (9 × 1) = 12/9
Simplify the result:
We can simplify the result by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3.
12 ÷ 3 = 4
9 ÷ 3 = 3
So, the simplified result is:
4/3
The final answer:
Therefore, 4/9 divided by 1/3 is equal to 4/3.
I hope this helps you understand the process of dividing fractions and finding the answer to the problem!
