Adding Mixed Fractions with Unlike Denominators

The video tutorial explains how to add mixed fractions with unlike denominators. It begins with breaking down mixed fractions into whole numbers and fractions, then adds the whole numbers separately. The tutorial demonstrates finding common denominators for the fractions and combining them to form a final mixed fraction. Practice problems are provided, followed by detailed solutions for two example problems. The video concludes with a method for adding three mixed fractions with different denominators.

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

• Convert mixed fractions to improper fractions.

• Find the least common multiple of the denominators.

• Add the fractions directly.

• Separate whole numbers and fractions.

How do you find a common denominator for the fractions 1/3 and 2/5?

• Multiply the first fraction by 5/5 and the second by 3/3.

• Convert both fractions to decimals.

• Multiply both fractions by 15.

• Add the numerators and denominators separately.

In the example 3 1/4 + 2 3/5, what is the common denominator used?

• 10

• 15

• 20

• 25

What is the result of adding 3 1/4 and 2 3/5?

• 6 1/4

• 5 3/4

• 5 17/20

• 5 1/2

When adding 8 3/4 and 7 5/9, what is the common denominator used?

• 18

• 27

• 36

• 45

How do you handle an improper fraction when adding mixed numbers?

• Convert it to a decimal.

• Break it into a whole number and a proper fraction.

• Subtract the denominator from the numerator.

• Leave it as is.

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

• Add all the fractions directly.

• Add the whole numbers first.

• Find a common denominator for all fractions.

• Convert all fractions to decimals.

What is the common denominator used for the fractions 2/3, 1/4, and 4/5?

• 60

• 50

• 40

• 30

What is the result of adding 4 2/3, 5 1/4, and 7 4/5?

• 18 43/60

• 17 43/60

• 16 43/60

• 19 43/60

What is the final step in adding mixed fractions with unlike denominators?

• Add the whole numbers and fractions separately.

• Subtract the smaller fraction from the larger one.

• Convert the result to an improper fraction.

• Express the result as a mixed number.