Adding Mixed Numbers with Regrouping

The video tutorial explains how to add mixed numbers with unlike denominators and regrouping. It begins by introducing the problem of adding 2 and 3/5 with 6 and 2/3. The tutorial uses area models to find a common denominator, converting the fractions to equivalent fractions with a denominator of 15. It then adds the whole numbers and fractions separately, resulting in an improper fraction. The video demonstrates how to convert this improper fraction into a mixed number using an area model, and finally combines it with the whole number to reach the final answer of 9 and 4/15.

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

• Stack up the problems

• Subtract the whole numbers

• Convert to improper fractions

• Find a common denominator

Why do we need to find a common denominator when adding fractions?

• To ensure the fractions have the same number of parts

• To make the fractions easier to subtract

• To convert the fractions to whole numbers

• To simplify the fractions

What is the common denominator used in the example?

• 10

• 15

• 25

• 20

How do you create equivalent fractions?

• By subtracting the whole numbers

• By partitioning the area models equally

• By multiplying the denominators

• By adding the numerators

What is the equivalent fraction of 3/5 when the common denominator is 15?

• 9/15

• 15/15

• 12/15

• 6/15

What is the sum of the whole numbers in the example problem?

• 6

• 8

• 9

• 10

What is the preliminary answer before regrouping?

• 8 and 19/15

• 8 and 10/15

• 8 and 9/15

• 8 and 20/15

What does regrouping an improper fraction involve?

• Changing the denominator

• Subtracting the fractions

• Restating the number in a different form

• Adding the whole numbers

How many whole parts are there in 19/15?

• 1

• 2

• 3

• 4

What is the final answer after regrouping and combining the whole numbers?

• 10 and 4/15

• 8 and 4/15

• 9 and 4/15

• 9 and 5/15