Dividing Mixed Numbers and Fractions

In this lesson, students learn how to divide fractions. The process begins with converting mixed numbers into improper fractions. The lesson then explains how to divide fractions by keeping the first fraction, changing the division sign to multiplication, and using the reciprocal of the second fraction. Finally, the result is converted back into a mixed number using long division. The lesson concludes with a brief mention of the next lesson.

What is the first step in solving the problem 3 and 1/2 divided by 2/3?

• Subtract the fractions

• Add the fractions

• Multiply the fractions

• Convert the mixed number to an improper fraction

How do you convert 3 and 1/2 into an improper fraction?

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

• Add the whole number to the denominator

• Divide the numerator by the whole number

• Multiply the whole number by the numerator

What is the improper fraction form of 3 and 1/2?

• 9/2

• 6/2

• 7/2

• 5/2

What operation do you perform after rewriting the division problem with improper fractions?

• Subtract the fractions

• Divide the fractions

• Add the fractions

• Multiply the fractions

What is the reciprocal of 2/3?

• 1/2

• 3/2

• 2/3

• 3/1

What is the first step in dividing fractions?

• Keep the first fraction

• Flip the first fraction

• Add the fractions

• Subtract the fractions

What operation do you perform after keeping the first fraction?

• Change the operation to multiplication

• Change the operation to addition

• Change the operation to division

• Change the operation to subtraction

What is the next step after changing the division sign to multiplication?

• Subtract the fractions

• Flip the second fraction

• Add the fractions

• Keep the second fraction

What is the result of multiplying 7/2 by 3/2?

• 21/4

• 14/4

• 18/4

• 10/4

How do you convert 21/4 into a mixed number?

• Subtract 4 from 21

• Multiply 21 by 4

• Divide 21 by 4 and use the remainder

• Add 21 and 4