Operations with Fractions and Mixed Numbers

In this video, Mr. J explains how to add mixed numbers with regrouping. The process involves rewriting the problem vertically, finding a common denominator, renaming fractions, adding the fractional and whole parts, and regrouping any improper fractions. The example used is 10 and a half plus 8 and four-fifths, resulting in a final answer of 19 and three-tenths. The video emphasizes the importance of finding the least common multiple for denominators and converting improper fractions to mixed numbers.

What is the first step in adding mixed numbers with regrouping?

• Convert mixed numbers to improper fractions

• Line up the fractions and whole numbers vertically

• Find the least common multiple

• Subtract the smaller number from the larger one

How do you find the least common denominator for fractions?

• By adding the denominators

• By finding the least common multiple of the denominators

• By subtracting the smaller denominator from the larger one

• By multiplying the denominators

What is the least common multiple of 2 and 5?

• 15

• 10

• 20

• 5

After finding a common denominator, what is the next step?

• Multiply the fractions

• Add the fractions

• Subtract the fractions

• Add the whole numbers

What is the result of adding 1/2 and 4/5 with a common denominator?

• 9/10

• 13/10

• 5/10

• 8/10

What do you do with an improper fraction in the result?

• Convert it to a mixed number

• Subtract it from the whole number

• Leave it as it is

• Multiply it by the whole number

How many whole groups of 10 are there in 13?

• 2

• 1

• 0

• 3

What is the final whole number after regrouping 18 and 1?

• 20

• 19

• 18

• 17

What is the simplified form of the fractional part 3/10?

• 1/3

• 3/5

• 3/10

• 1/2

What is the final answer for the addition of 10 1/2 and 8 4/5?

• 19 1/2

• 20 1/5

• 19 3/10

• 18 3/10