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

Worksheets for Grade 5

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.
Divide by unit fraction
 

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

  1. 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

  1. 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

  1. 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? ________

  2. Divide. Then multiply to check.
    e. 2 ÷ 1/8
    f. 7 ÷ 1/6
    g. 8 ÷ 1/3
    h. 1 ÷ 1/6

  3. 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.

  1. 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? _______
  2. 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

  1. 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? _______
  2. Divide. Then multiply to check.
    a. 2 ÷ 1/4
    b. 6 ÷ 1/2
  3. 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? _______

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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