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Fractions and Whole Numbers in Words and Visuals

4.NF.4
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Aligned To Common Core Standard:

Grade 4 Fractions - 4.NF.4

How to Represent Fractions and Whole Numbers in Words and Visuals? Mathematics is all about learning the concept behind solving different kinds of problems. Therefore, with the help of visuals, the concept can be understood easily. Here we will present you with some visuals which can help you know fractions and whole numbers a bit better. We will also tell you the way to write fractions in words. Let us consider an example. Here you are presented with four cakes, and you need to divide the cake with 15 people. Now, we all know that you 16 is not present in the table of 4, so the number below 15, present in the table is 12. Hence, 12 ÷ 4 = 3; which means that the number of cakes which will be entirely eaten is 3 with equal four pieces. Which means the whole number part of the example is 3. The last cake has 4 pieces as well but only 3 people remain. So, 3/4 Part of the cake will be eaten. So, in numbers, it can be written as 3 3/4. Now, in words you can write three and three-fourth of the cake are eaten by the children. This collection of worksheets and lessons help students learn to use and identify fractions and whole numbers in different settings and context.

Printable Worksheets And Lessons






Homework Sheets

We use a numbers line to help us with the first one. Number 2 is pretty standard story problems. For the last one, I use visuals, well boxes, to help explain it.

  • Numbers Line HW 1- Rex throws party at his house. He invited 200 guests. He ordered 400 pizzas in which only 2/4 of the pizzas were eaten. How many pizzas were not eaten? Use the numbers line to help you.
  • Situations Homework 2 - Lea, Ray & Peter painted a car. Lea painted ଷ 3/7, Ray painted 2/7 & Peter painted the rest of the car. What fraction of the car did Peter paint?
  • Visualizing Homework 3 - Two-fourths of the 20 cherries in the fridge are fresh. How many cherries in the fridge are fresh?
  • Small Numbers Line HW 4 - What is 1/4 multiplied by 3? Use the numbers line to help you.
  • Word Problems HW 5 - Lea has 10 candies. She found that that 1/2 of candies are vanilla flavor. How many candies are vanilla flavor? Use the area model to help you.
  • Area Models HW 6 - Multiply. Simplify your answer and write it as a proper fraction or as a whole or mixed number. Use the area model to help you.



Practice Worksheets

All the practice sheets are your basic run-of-the-mill story-based word problems that can be an extended review for this section.

  • Practice 1 - There are 48 children in a class. 2/3 of them are on the playground. How many children are playing?
  • Practice 2 - There are 48 students in guitar class. Only 1/4 of the students know how to play a full song. How many students don’t know how to play a full song?
  • Practice 3 - 5/9 of 63 kids are playing outside. The rest of the kids are sleeping. How many kids are sleeping?
  • Word Based Practice 4There are 30 students in cafeteria. 1/10 of them did not bring their lunch. How many students did not bring their lunch?
  • Area Models Practice 5 - Simplify your answer and write it as a proper fraction or as a whole or mixed number. Use the area model to help you.
  • Models Practice 6 - What is 1/3 multiplied by 4? Use the numbers line to help you.



Review Skill Quizzes

This may seem odd, but I through more review in here with fraction and mixed number operations to help them along with those skills.

  • Review Quiz 1 - The models will help you through this.
  • Review Quiz 2- Write the final product of each fraction in the box.
  • Review Quiz 3- Complete the problems; use the models to help you.
  • Visual Quiz 4 - Choose the letter that is equal to the fraction represented by the model multiplied by the whole number.
  • Sentences Quiz 5 - Loy has 14 pencils packs. 4 of them do not have erasers. What fraction of the packs do not have erasers?
  • Products Quiz 6 - Multiply. Simplify your answer and write it as a proper fraction or as a whole or mixed number.


There are different visual models and terminologies that can help represent whole numbers and fractions. Some of the key models that are used are length model, area model, and line model. The set model: Every day students experience different opportunities where they work with different visual images representing whole numbers and fractions. For example, a dozen eggs are a set representing 12 eggs. The most important element of a visual image for any fraction is the value of its whole. For the set model, the total number of objects in the set. The length model: The length model usually involves dividing a strip of paper folded in one direction to show the fractions. The advantage of this model is that it can extend to as many units as you want. It can be represented by a set of paper towels that have perforated edges. This type of model is useful in doing the addition and subtraction of fractions. The number line model: This bouncing number line shows a clear picture of the fraction linking with each other to make the value one. It also denotes the distance between two fractions that exists.