Adding Mixed Numbers: 2 3/8 + 1 1/8
In this article, we will explore how to add two mixed numbers: 2 3/8 and 1 1/8.
Step 1: Convert Mixed Numbers to Improper Fractions
To add these mixed numbers, we need to convert them to improper fractions first. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
2 3/8
To convert 2 3/8 to an improper fraction, we multiply the whole number part (2) by the denominator (8) and then add the numerator (3).
2 × 8 = 16 16 + 3 = 19
So, 2 3/8 is equal to 19/8.
1 1/8
Similarly, to convert 1 1/8 to an improper fraction, we multiply the whole number part (1) by the denominator (8) and then add the numerator (1).
1 × 8 = 8 8 + 1 = 9
So, 1 1/8 is equal to 9/8.
Step 2: Add the Improper Fractions
Now that we have converted both mixed numbers to improper fractions, we can add them.
19/8 + 9/8
To add these fractions, we need to have the same denominator, which is 8 in this case. We can simply add the numerators (19 + 9) and keep the same denominator.
19 + 9 = 28
So, 19/8 + 9/8 = 28/8.
Step 3: Simplify the Fraction (Optional)
We can simplify the fraction 28/8 by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 28 and 8 is 4. So, we can divide both numbers by 4.
28 ÷ 4 = 7 8 ÷ 4 = 2
So, 28/8 = 7/2.
Final Answer
Therefore, the result of adding 2 3/8 and 1 1/8 is 3 5/8 or 7/2 in improper fraction form.
