Subtracting Mixed Numbers: 4 1/4 - 2 3/4
In this article, we will learn how to subtract mixed numbers, specifically the problem 4 1/4 - 2 3/4. This type of problem can be a bit challenging, but with the right steps, you'll be able to solve it easily.
Step 1: Convert Mixed Numbers to Improper Fractions
To subtract mixed numbers, we need to convert them to improper fractions first. An improper fraction is a fraction where the numerator is greater than the denominator.
4 1/4 = ?
To convert 4 1/4 to an improper fraction, we multiply the whole number part (4) by the denominator (4) and then add the numerator (1).
4 × 4 = 16 16 + 1 = 17
So, 4 1/4 is equal to 17/4.
2 3/4 = ?
Let's convert 2 3/4 to an improper fraction using the same method.
2 × 4 = 8 8 + 3 = 11
So, 2 3/4 is equal to 11/4.
Step 2: Subtract the Improper Fractions
Now that we have the improper fractions, we can subtract them.
17/4 - 11/4 = ?
To subtract fractions with the same denominator, we subtract the numerators and keep the same denominator.
17 - 11 = 6
So, 17/4 - 11/4 = 6/4.
Step 3: Simplify the Answer
Finally, we need to simplify our answer. We can divide both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 6 and 4 is 2, so we can divide both numbers by 2.
6 ÷ 2 = 3 4 ÷ 2 = 2
So, 6/4 = 3/2.
The Final Answer
Therefore, 4 1/4 - 2 3/4 = 3/2 or 1 1/2.
By following these steps, you can easily subtract mixed numbers and get the correct answer. Remember to convert mixed numbers to improper fractions, subtract the fractions, and simplify the answer.
