Fractions Greater than One

Videos, examples, and solutions to help Grade 3 students learn how to build and write fractions greater than one whole using unit fractions.

Common Core Standards: 3.NF.1, 3.NF.3c, 3.G.2

New York State Common Core Math Grade 3, Module 5, Lesson 9
Worksheets for Grade 3

The following diagram shows how to how to build and write fractions greater than one whole using unit fractions. Scroll down the page for more examples and solutions.

 

Application Problem
Julianne’s friendship bracelet has 8 beads. When it broke, the beads fell off. She could only find 1 of the beads. To fix her bracelet, what fraction of the beads does she need to buy?

Concept Development
I brought 2 oranges for lunch today. I cut each one into fourths so that I could eat them easily. Draw a picture to show how I cut my 2 oranges.

1. If 1 orange represents 1 whole, how many copies of 1 fourth are in 1 whole? 4 copies. Then what is our unit? Fourths.
   How many copies of 1 fourth in two whole oranges? 8 copies.
   
2. I was so hungry I ate 1 whole orange and 1 piece of the second orange.
   Shade in the pieces I ate.
   How many pieces did I eat? 5 pieces.
   And what’s our unit? Fourths.
   So we can say that I ate 5 fourths of an orange for lunch.
   
3. Show 5 fourths as a number bond of unit fractions.
   Compare the number of pieces I ate to 1 whole orange. The number of pieces is bigger.
   If the number of parts is greater than the number of equal parts in the whole, then you know that the fraction describes more than 1 whole.
   
4. Make a number bond with 2 parts, one part showing the pieces that make up the whole and the other part showing the pieces that are more than the whole.

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Lesson 9 Problem Set

1. Each figure represents 1 whole. Fill in the chart.
2. Estimate to draw and shade units on the fraction strips. Solve.
   a. 8 sixths =
   b. 7 fourths =
   c. _____________ = 6/5
   d. _____________ = 5/2
3. Mrs. Jawlik baked 2 pans of brownies. Draw the pans and estimate to partition each pan into 8 equal pieces.
   a. Mrs. Jawlik’s children gobble up 10 pieces. Shade the amount that was eaten.
   b. Write a fraction to show how many pans of brownies her children ate.

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Lesson 9 Homework

1. Each shape represents 1 whole. Fill in the chart.
2. Estimate to draw and shade units on the fraction strips. Solve.
3. Reggie bought 2 candy bars. Draw the candy bars and estimate to partition each bar into 4 equal pieces.
   a. Reggie ate 5 pieces. Shade the amount that was eaten.
   b. Write a fraction to show how many pieces of the candy bar Reggie ate.

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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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