Adding and Simplifying Fractions

This video tutorial explains how to add mixed numbers by first obtaining a common denominator, adding fractions and whole numbers, and converting improper fractions to mixed numbers. It includes three examples demonstrating these steps, focusing on finding the least common denominator and handling improper fractions. The video concludes with a summary of the key points.

What is the first step when adding mixed numbers?

• Convert to improper fractions

• Find a common denominator

• Add the whole numbers

• Simplify the fractions

In the first example, what is the least common denominator for 1/4 and 2/3?

• 16

• 12

• 8

• 6

After finding a common denominator, what is the sum of 3/12 and 8/12?

• 9/12

• 10/12

• 12/12

• 11/12

In the second example, what is the improper fraction obtained after adding 12/15 and 11/15?

• 23/15

• 24/15

• 21/15

• 22/15

How do you convert the improper fraction 23/15 to a mixed number?

• 1 and 7/15

• 1 and 8/15

• 2 and 7/15

• 2 and 8/15

In the third example, what is the least common denominator for 7/8 and 5/6?

• 12

• 36

• 48

• 24

What is the sum of 21/24 and 20/24?

• 43/24

• 42/24

• 41/24

• 40/24

How do you convert the improper fraction 41/24 to a mixed number?

• 1 and 17/24

• 2 and 17/24

• 1 and 16/24

• 2 and 16/24

What should you always check for after obtaining the final sum?

• If the whole number is even

• If the fraction can be simplified

• If the fraction is improper

• If the whole number is greater than 10

Why is it important to convert improper fractions to mixed numbers?

• To avoid errors in subtraction

• To ensure the sum is in simplest form

• To make calculations easier

• To compare with other fractions