Dividing Fractions and Mixed Numbers

The video tutorial explains how to divide mixed numbers using both an alternative method and the traditional method. It begins by converting mixed numbers into improper fractions and finding a common denominator. The alternative method involves dividing fractions with a common denominator by dividing their numerators. The traditional method involves multiplying by the reciprocal. A visual model is used to illustrate the division process, and the tutorial concludes by comparing both methods, showing that they yield the same result.

What is the main objective when dividing 3 1/2 by 2 1/3?

• To find the sum of the two numbers

• To multiply the two numbers

• To determine how many times 2 1/3 fits into 3 1/2

• To subtract 2 1/3 from 3 1/2

In the alternative method, what is the key step to find the quotient?

• Finding a common denominator and dividing the numerators

• Multiplying the denominators

• Adding the fractions

• Subtracting the numerators

How do you convert a mixed number to an improper fraction?

• Multiply the whole number by the denominator and add the numerator

• Add the whole number to the numerator

• Multiply the numerator by the denominator

• Subtract the numerator from the whole number

What is the least common multiple of 2 and 3 used in the alternative method?

• 9

• 6

• 5

• 4

What is the simplified form of 21/14?

• 2/3

• 3/2

• 7/3

• 1/2

How many 14/6 are there in 21/6 according to the alternative method?

• 2 1/2

• 2

• 1 1/2

• 1

What does the traditional method involve when dividing fractions?

• Multiplying by the reciprocal

• Dividing the numerators

• Subtracting the fractions

• Adding the fractions

What is the reciprocal of 7/3?

• 7/2

• 2/7

• 3/7

• 1/3

What is the product of 7/2 and 3/7 in the traditional method?

• 7/3

• 2/3

• 3/2

• 1/2

What is the final quotient of 3 1/2 divided by 2 1/3 using both methods?

• 2

• 3

• 1

• 1 1/2