Understanding Addition of Fractions with Unlike Denominators

This video tutorial explains how to add fractions with unlike denominators. It emphasizes the need for a common denominator, which is the least common multiple of the denominators. The tutorial demonstrates rewriting fractions with a common denominator, adding them, and converting the result into a mixed number. Visual models are used to illustrate the process, ensuring a clear understanding of the concept.

Why is it necessary to have a common denominator when adding fractions?

• To simplify the fractions

• To make the numerators equal

• To convert fractions into whole numbers

• To ensure the fractions are of the same size

What is the least common denominator of 3/5 and 1/2?

• 15

• 10

• 2

• 5

How do you rewrite 3/5 with a denominator of 10?

• Add 5 to the numerator

• Multiply both numerator and denominator by 2

• Subtract 2 from the denominator

• Multiply both numerator and denominator by 5

What is the sum of 6/10 and 5/10?

• 10/10

• 12/10

• 11/10

• 1/10

Why is 11/10 considered an improper fraction?

• The numerator is equal to the denominator

• The numerator is less than the denominator

• The fraction cannot be simplified

• The numerator is greater than the denominator

How do you convert 11/10 into a mixed number?

• Divide 11 by 10 and express the remainder as a fraction

• Multiply 11 by 10 and express the result as a fraction

• Add 1 to the numerator

• Subtract 1 from the denominator

What does each piece represent in the visual model of the fractions?

• One-fifth

• One-half

• One-tenth

• One-whole

How many parts make up one whole in the visual model?

• 2 parts

• 5 parts

• 10 parts

• 11 parts

What is the final sum of the fractions in the visual model?

• 10/10

• 11/10

• 9/10

• 12/10

What is the mixed number representation of 11/10?

• 1 and 1/10

• 1 and 4/10

• 1 and 2/10

• 1 and 3/10