Compensation Method in Addition

This video tutorial introduces an alternative method for adding mixed numbers, known as the compensation method. It begins by reviewing two common methods: finding a common denominator and converting to improper fractions. The compensation method simplifies the process by adjusting one addend to a whole number and compensating with the other. Two examples demonstrate this method, showing how it avoids improper fractions. The video concludes by noting that the compensation method is only necessary when the sum of fractions results in an improper fraction.

What is the least common denominator for the fractions 2/3 and 4/5?

• 10

• 12

• 15

• 20

Which method involves converting mixed numbers to improper fractions before adding?

• Compensation Method

• Direct Addition Method

• Improper Fraction Method

• Common Denominator Method

What is the first step in the compensation method?

• Add whole numbers first

• Find a common denominator

• Subtract fractions

• Convert to improper fractions

In the compensation method, what do you do after making one addend a whole number?

• Subtract the same fraction from the other addend

• Divide the fractions

• Add the same fraction to the other addend

• Multiply the fractions

What is the sum of 6 and 2/3 + 2 and 4/5 using the compensation method?

• 9 and 7/15

• 7 and 14/15

• 10 and 1/15

• 8 and 11/15

In the second example, what is the least common denominator for 7 and 3/4 + 4 and 2/3?

• 18

• 15

• 12

• 10

What is the result of adding 7 and 9/12 + 4 and 8/12 using the compensation method?

• 14 and 5/12

• 12 and 5/12

• 11 and 5/12

• 13 and 5/12

When is the compensation method not necessary?

• When the whole numbers are equal

• When the sum is a proper fraction

• When the fractions are equal

• When the sum is an improper fraction

What is the sum of 6 and 1/3 + 2 and 2/5 without using the compensation method?

• 8 and 11/15

• 9 and 1/15

• 7 and 14/15

• 8 and 1/15

What is the main advantage of the compensation method?

• It requires no common denominator

• It is faster than other methods

• It uses only whole numbers

• It avoids improper fractions