Subtracting Mixed Numbers: 2 3/4 - 1 1/4
In this article, we will learn how to subtract mixed numbers, specifically 2 3/4 minus 1 1/4. Subtracting mixed numbers can be a bit tricky, but with the right steps, it becomes easy and straightforward.
Understanding Mixed Numbers
Before we dive into the subtraction process, let's quickly review what mixed numbers are. A mixed number is a combination of a whole number and a fraction. For example, 2 3/4 is a mixed number, where 2 is the whole number and 3/4 is the fraction part.
Converting Mixed Numbers to Improper Fractions
To subtract mixed numbers, we need to convert them into improper fractions. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Converting 2 3/4 to an Improper Fraction
To convert 2 3/4 to an improper fraction, we multiply the whole number part (2) by the denominator (4) and add the numerator (3).
2 × 4 = 8 8 + 3 = 11
So, 2 3/4 is equal to 11/4.
Converting 1 1/4 to an Improper Fraction
Similarly, we convert 1 1/4 to an improper fraction:
1 × 4 = 4 4 + 1 = 5
So, 1 1/4 is equal to 5/4.
Subtracting the Improper Fractions
Now that we have converted both mixed numbers to improper fractions, we can subtract them:
11/4 - 5/4
To subtract fractions, we need to have the same denominator. In this case, the denominator is already the same, which is 4. So, we subtract the numerators:
11 - 5 = 6
So, the result of the subtraction is 6/4.
Simplifying the Fraction
Finally, we simplify the fraction 6/4 by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
6 ÷ 2 = 3 4 ÷ 2 = 2
So, the final answer is:
1 1/2
Therefore, 2 3/4 minus 1 1/4 is equal to 1 1/2.
