Simplifying the Fraction: 1 2/1 1/4
When dealing with mixed numbers and fractions, it's essential to understand how to simplify them to their most basic form. In this article, we'll explore how to simplify the fraction 1 2/1 1/4.
Breaking Down the Fraction
Let's start by breaking down the given fraction: 1 2/1 1/4. This is a mixed number, which consists of an integer part (1) and a fractional part (2/1 1/4).
To simplify this fraction, we need to focus on the fractional part: 2/1 1/4. This is a mixed fraction, which can be simplified further.
Converting the Mixed Fraction to a Proper Fraction
To convert the mixed fraction 2/1 1/4 to a proper fraction, we need to multiply the integer part (1) by the denominator (4) and then add the numerator (2):
(1 × 4) + 2 = 6
So, the mixed fraction 2/1 1/4 is equal to the improper fraction 6/4.
Simplifying the Improper Fraction
Now, let's simplify the improper fraction 6/4 by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 6 and 4 is 2.
Divide both the numerator and the denominator by 2:
6 ÷ 2 = 3 4 ÷ 2 = 2
So, the simplified fraction is 3/2.
The Simplified Answer
Now, let's combine the integer part (1) with the simplified fraction:
1 3/2
Therefore, the simplified form of the original fraction 1 2/1 1/4 is 1 3/2.
