Divide Decimals by Decimals

Videos, examples, solutions, and lessons to help Grade 5 students learn how to divide decimal dividends by non-unit decimal divisors.

New York State Common Core Math Grade 5, Module 4, Lesson 30

Worksheets for Grade 5

The following diagram gives some examples of dividing decimals by decimals.
 

Common Core Standards: 5.OA.1, 5.NBT.7, 5.NF.7

Lesson 30 Problem Set

1. Rewrite the division expression as a fraction, and divide.
   c. 3.5 ÷ 0.5 =
   d. 3.5 ÷ 0.05 =
   e. 4.2 ÷ 0.7 =
   f. 0.42 ÷ 0.07 =
   i. 3.6 ÷ 1.2 =
   j. 0.36 ÷ 0.12 =
   
2. Mr. Volok buys 2.4 kg of sugar for his bakery.
   a. If he pours 0.2 kg of sugar into separate bags, how many bags of sugar can he make?
   b. If he pours 0.4 kg of sugar into separate bags, how many bags of sugar can he make?
   
3. Two wires, one 17.4 meters long and one 7.5 meters long, were cut into pieces 0.3 meters long. How many such pieces can be made from both wires?
   
4. Mr. Smith has 15.6 pounds of oranges to pack for shipment. He can ship 2.4 lb of oranges in a large box and 1.2 lb in a small box. If he ships 5 large boxes, what is the minimum number of small boxes required to ship the rest of the oranges?
   (Homework) 4. A restaurant’s small salt shakers contain 0.6 ounces of salt. Its large shakers hold twice as much. The shakers are filled from a container that has 18.6 ounces of salt. If 8 large shakers are filled, how many small shakers can be filled with the remaining salt?

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Lesson 30 Homework
This video shows how to divide decimal dividends by non-unit decimal divisors using the identity property of multiplication.

1. Rewrite the division expression as a fraction, and divide.
   a. 2.4 ÷ 0.8 =
   c. 4.8 ÷ 0.6 =
   f. 0.84 ÷ 0.07 =
   
2. Leann says 18 6 = 3, so 1.8 ÷ 0.6 = 0.3 and 0.18 ÷ 0.06 = 0.03.
   Is Leann correct? How would you explain how to solve these division problems?

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Lesson 30 Homework
3. Denise is making bean bags. She has 6.4 pounds of beans.
a. If she makes each bean bag 0.8 pounds, how many bean bags will she be able to make?
b. If she decides instead to make mini bean bags that are half as heavy, how many can she make?

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Lesson 30 Homework

1. Rewrite the division expression as a fraction, and divide.
   2.4 ÷ 0.8 =

Lesson 31
Problem 2:
a. 21.56 ÷ 0.98 =

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