Dividing Fractions: 2/5 Divided by 1/5
In this article, we will explore the process of dividing fractions and specifically, find the result of 2/5 divided by 1/5.
The Basics of Dividing Fractions
To divide fractions, we need to follow a simple rule:
Divide the numerators (numbers on top) and multiply the denominators (numbers on the bottom)
This rule can be represented mathematically as:
(a/b) ÷ (c/d) = (a × d) / (b × c)
Let's apply this rule to our problem.
2/5 Divided by 1/5
The fraction 2/5 divided by 1/5 can be written as:
(2/5) ÷ (1/5)
To divide these fractions, we will divide the numerators (2 and 1) and multiply the denominators (5 and 5).
Step 1: Divide the Numerators
2 ÷ 1 = 2
Step 2: Multiply the Denominators
5 × 5 = 25
Step 3: Write the Result
Now, we can write the result of the division:
(2/5) ÷ (1/5) = 2/25
Simplifying the Result
The resulting fraction, 2/25, is not in its simplest form. To simplify it, we need to find the greatest common divisor (GCD) of 2 and 25.
The GCD of 2 and 25 is 1. Therefore, the simplest form of the fraction is:
2/25
And that's the answer! 2/5 divided by 1/5 is equal to 2/25 in its simplest form.
