Divide Whole Number by Unit Fraction
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Videos, examples and solutions to help Grade 5 students learn how to divide a whole number by a unit fraction.
New York State Common Core Math Grade 5, Module 4, Lesson 25
Common Core Standards: 5.OA.1, 5.NBT.7, 5.NF.7
The following diagram shows some an example of dividing a whole number by a unit fraction. Scroll down the page for more examples of how to divide whole numbers by unit fractions.
Lesson 25 Application Problem
The label on a 0.118-liter bottle of cough syrup recommends a dose of 10 milliliters for children aged 6 to 10 years. How many 10-mL doses are in the bottle?
Lesson 25 Concept Development
Problem 1
Jenny buys 2 pounds of pecans.
a. If Jenny puts 2 pounds in each bag, how many bags can she make?
b. If she puts 1 pound in each bag, how many bags can she make?
c. If she puts 1/2 pound in each bag, how many bags can she make?
d. If she puts 1/3 pound in each bag, how many bags can she make?
e. If she puts 1/4 pound in each bag, how many bags can she make?
Problem 2
Jenny buys 2 pounds of pecans.
a. If this is 1/2 the number she needs to make pecan pies, how many pounds will she need?
b. If this is 1/3 the number she needs to make pecan pies, how many pounds will she need?
c. If this is 1/4 the number she needs to make pecan pies, how many pounds will she need?
Problem 3
Tien wants to cut 1/4 foot lengths from a board that is 5 feet long.
How many boards can he cut?
Lesson 25 Problem Set
- Draw a tape diagram and a number line to solve. You may draw the model that makes the most sense to you. Fill in the blanks that follow.
a. 4 ÷ 1/2 = _________
There are ____ halves in 1 whole.
There are ____ halves in 4 wholes.
If 4 is 1/2, what is the whole? ________
Lesson 25 Problem Set
- Draw a tape diagram and a number line to solve. You may draw the model that makes the most sense to you. Fill in the blanks that follow.
b. 2 ÷ 1/4 = _________
There are____ fourths in 1 whole.
There are ____ fourths in 2 wholes.
If 2 is 1/4, what is the whole? ________
A group leader orders 8 pies for a meeting. She cuts the pies into thirds and puts them on a tray. How many pieces of pie are on the tray? Draw a model to show your thinking.
Lesson 25 Problem Set
-
Draw a tape diagram and a number line to solve. You may draw the model that makes the most sense to you. Fill in the blanks that follow.
c. 5 ÷ 1/3 = _________
There are____ thirds in 1 whole.
There are ____ thirds in 5 wholes.
If 5 is 1/3, what is the whole? ____
d. 3 ÷ 1/5 = _________
There are fifths in 1 whole.
There are ____ fifths in 3 wholes.
If 3 is 1/5, what is the whole? ________ -
Divide. Then multiply to check.
e. 2 ÷ 1/8
f. 7 ÷ 1/6
g. 8 ÷ 1/3
h. 1 ÷ 1/6 -
Use the chart below to answer the following questions.
a. How many hamburgers can Donnie make with 6 pounds of hamburger meat?
b. How many pickle servings can be made from a jar of 15 pickles?
c. How many servings of chocolate milk can he serve from a gallon of milk?
Lesson 25 Exit Ticket
This video shows how to divide whole number by a fraction using tape diagrams.
- Draw a tape diagram and a number line to solve. Fill in the blanks that follow.
a. 5 ÷ 1/2 = _________
There are ____ halves in 1 whole.
There are ____ halves in 5 wholes.
5 is 1/2 of what number? _______
b. 4 ÷ 1/4 = ______
There are ____ fourths in 1 whole.
There are ____ fourths in __ wholes.
4 is 1/4 of what number? _______ - Ms. Leverenz is doing an art project with her class. She has a 3-foot piece of ribbon. If she gives each student an eighth of a foot of ribbon, will she have enough for her 22-student class?
Lesson 25 Homework
2. Divide. Then multiply to check.
a. 2 ÷ 1/4
b. 6 ÷ 1/2
c. 5 ÷ 1/4
Lesson 25 Homework
- Draw a tape diagram and a number line to solve. Fill in the blanks that follow.
c. 4 ÷ 1/3 = ____
There are ____ thirds in 1 whole.
There are ____ thirds in __ wholes.
If 4 is 1/3, what is the whole? _______ - Divide. Then multiply to check.
a. 2 ÷ 1/4
b. 6 ÷ 1/2 - A principal orders 8 sub sandwiches for a teachers’ meeting. She cuts the subs into thirds and puts the mini-subs onto a tray. How many mini-subs are on the tray?
Lesson 25 Homework
Draw a tape diagram and a number line to solve. Fill in the blanks that follow.
4 ÷ 1/2 = _________
There are ____ halves in 1 whole.
There are ____ halves in __ wholes.
If 4 is 1/2, what is the whole? _______
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