Subtracting Fractions: 6 1/4 - 3/4 as a Fraction
To subtract fractions, we need to follow a few simple steps. In this article, we will learn how to subtract 3/4 from 6 1/4 and express the result as a fraction.
Step 1: Convert Mixed Number to Improper Fraction
First, we need to convert the mixed number 6 1/4 to an improper fraction. To do this, we multiply the whole number part (6) by the denominator (4) and then add the numerator (1).
6 × 4 = 24 24 + 1 = 25
So, 6 1/4 = 25/4
Step 2: Subtract Fractions
Now, we can subtract 3/4 from 25/4.
25/4 - 3/4 = ?
To subtract fractions, we need to have the same denominator. In this case, both fractions already have the same denominator (4). So, we can subtract the numerators (25 - 3) and keep the same denominator.
25 - 3 = 22
So, 25/4 - 3/4 = 22/4
Step 3: Simplify the Fraction (Optional)
In this case, we can simplify the fraction 22/4 by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 22 and 4 is 2. So, we can divide both numbers by 2.
22 ÷ 2 = 11 4 ÷ 2 = 2
So, 22/4 = 11/2
The Final Answer
Therefore, 6 1/4 - 3/4 as a fraction is equal to 11/2.
