Dividing Fractions and Reciprocals

This lesson covers using algorithms to divide fractions, starting with an introduction to the concept and moving through various activities that involve multiplying and dividing fractions. Students engage in partner work to explore different strategies and apply the algorithm to solve problems. The lesson concludes with real-world applications and a summary, followed by homework instructions.

What is the first step in dividing a number by a fraction?

• Multiply by the numerator

• Multiply by the reciprocal

• Divide by the denominator

• Add the fractions

If you have 3 divided by 1/2, what is the equivalent multiplication expression?

• 3 x 1/3

• 3 x 1

• 3 x 1/2

• 3 x 2

In the example of dividing 9/10 by 3/5, what is the first step?

• Multiply 9/10 by 5/3

• Divide 9/10 by 5/3

• Add 9/10 and 3/5

• Multiply 9/10 by 3/5

What is the result of dividing 4 by 2/5 using the strategy described by Elena?

• Multiply 4 by 2 and divide by 5

• Multiply 4 by 5 and divide by 2

• Multiply 4 by 1 and divide by 2

• Multiply 4 by 5 and divide by 1

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

• Subtract the numerator from the denominator

• Add the whole number to the numerator

• Multiply the numerator by the denominator

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

What is the reciprocal of 3/4?

• 4/3

• 3/4

• 1/3

• 1/4

What is the result of dividing 15/4 by 8/5?

• 6

• 5

• 4

• 3

How do you find the length of Jada's entire trip if she has traveled 5.5 miles, which is 2/5 of the trip?

• Divide 5.5 by 2/5

• Divide 5.5 by 5/2

• Multiply 5.5 by 2/5

• Multiply 5.5 by 5/2

What is the key takeaway from the lesson on dividing fractions?

• Dividing by a fraction is the same as multiplying by its reciprocal

• Dividing by a fraction is the same as adding the fractions

• Dividing by a fraction is the same as subtracting the fractions

• Dividing by a fraction is the same as dividing by its numerator

What is the result of dividing 4.5 by 1/8?

• 36

• 18

• 27

• 9