Adding Mixed Numbers: 2 1/4 + 1 5/6 as a Fraction
In this article, we will learn how to add two mixed numbers, 2 1/4 and 1 5/6, and convert the result into a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
To add mixed numbers, we need to convert them into improper fractions first. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Convert 2 1/4 to an Improper Fraction
To convert 2 1/4 to an improper fraction, we multiply the whole number part (2) by the denominator (4) and then add the numerator (1).
2 × 4 = 8 8 + 1 = 9
So, 2 1/4 can be written as an improper fraction: 9/4
Convert 1 5/6 to an Improper Fraction
To convert 1 5/6 to an improper fraction, we multiply the whole number part (1) by the denominator (6) and then add the numerator (5).
1 × 6 = 6 6 + 5 = 11
So, 1 5/6 can be written as an improper fraction: 11/6
Step 2: Add the Improper Fractions
Now that we have converted both mixed numbers to improper fractions, we can add them.
9/4 + 11/6
To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 4 and 6 is 12. So, we will convert both fractions to have a denominator of 12.
9/4 = 27/12 11/6 = 22/12
Now, we can add the fractions:
27/12 + 22/12 = 49/12
Step 3: Simplify the Fraction (Optional)
The resulting fraction, 49/12, is already in its simplest form. However, if you want to convert it back to a mixed number, you can do so:
49/12 = 4 1/12
And that's the final answer! The result of adding 2 1/4 and 1 5/6 is 4 1/12 or 49/12 as a fraction.
