Adding Mixed Numbers with Unlike Denominators

The video tutorial covers the process of adding mixed numbers with different denominators. It begins with finding a common denominator, rewriting fractions, and adding them along with whole numbers. The tutorial also explains how to simplify improper fractions into mixed numbers. Two examples are provided, followed by a practice problem with estimation to ensure understanding.

What is the first step in adding mixed numbers with different denominators?

• Add the whole numbers first

• Find a common denominator

• Multiply the fractions

• Subtract the fractions

If you have the fractions 2/3 and 3/4, what is their common denominator?

• 6

• 12

• 15

• 9

How do you convert 2/3 to a fraction with a denominator of 12?

• Multiply both numerator and denominator by 4

• Subtract 2 from the denominator

• Add 4 to the numerator

• Multiply both numerator and denominator by 3

What is the sum of 6 and 8/12 plus 4 and 9/12?

• 10 and 5/12

• 11 and 5/12

• 10 and 17/12

• 11 and 17/12

How do you simplify the improper fraction 17/12?

• Divide 17 by 12 and take the remainder

• Subtract 12 from 17 and keep the denominator

• Multiply the numerator by 2

• Convert it to 1 and 5/12

What is the estimated sum of 6 and 2/3 plus 4 and 3/4?

• 11

• 13

• 12

• 10

What is the common denominator for the fractions 1/3 and 4/5?

• 10

• 12

• 20

• 15

How do you convert 1/3 to a fraction with a denominator of 15?

• Add 5 to the numerator

• Multiply both numerator and denominator by 5

• Multiply both numerator and denominator by 3

• Subtract 2 from the denominator

What is the sum of 4 and 1/3 plus 3 and 4/5?

• 7 and 2/15

• 8 and 17/15

• 7 and 17/15

• 8 and 2/15

What is the simplified form of 12/8?

• 1 and 5/8

• 1 and 4/8

• 1 and 3/8

• 1 and 2/8