1 1/4 + 2 2/3 As A Fraction

2 min read Jun 17, 2024
1 1/4 + 2 2/3 As A Fraction

Adding Mixed Numbers: 1 1/4 + 2 2/3

Adding mixed numbers can seem intimidating, but it's actually quite simple once you break it down. Here's how to add 1 1/4 + 2 2/3:

Step 1: Find a Common Denominator

The first step is to find a common denominator for the fractions 1/4 and 2/3. The least common multiple of 4 and 3 is 12.

  • Convert 1/4 to an equivalent fraction with a denominator of 12: 1/4 * 3/3 = 3/12
  • Convert 2/3 to an equivalent fraction with a denominator of 12: 2/3 * 4/4 = 8/12

Step 2: Add the Fractions

Now that the fractions have the same denominator, we can add them:

3/12 + 8/12 = 11/12

Step 3: Add the Whole Numbers

Next, add the whole numbers from the original mixed numbers:

1 + 2 = 3

Step 4: Combine the Whole Number and Fraction

Finally, combine the whole number and the fraction:

3 11/12

Therefore, 1 1/4 + 2 2/3 = 3 11/12.

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