Simplifying Fractions: 1/4 divided by 1/5 as a Fraction
Introduction
When working with fractions, it's essential to understand how to perform various operations, including division. In this article, we'll explore how to divide 1/4 by 1/5 and simplify the resulting fraction.
The Division Process
To divide 1/4 by 1/5, we'll follow the standard procedure for dividing fractions:
Step 1: Invert the Second Fraction
First, we'll invert the second fraction, 1/5, by flipping its numerator and denominator:
1/5 = 5/1
Step 2: Multiply the Fractions
Next, we'll multiply the first fraction, 1/4, by the inverted fraction:
(1/4) × (5/1) = ?
Step 3: Simplify the Result
Now, let's multiply the numerators and denominators separately:
Numerators: 1 × 5 = 5 Denominators: 4 × 1 = 4
Result: 5/4
Simplified Fraction
So, the result of dividing 1/4 by 1/5 is:
5/4
This is the simplified fraction.
