# Fractions and Numbers in Words Worksheets

Writing fractions in word form is often challenging for students because it requires them to think back to the basic concept of fractions and numeracy. The concept of using cardinal form of numbers and ordinal form comes back to the surface again. Once you get the hang of these types of problems, they are pretty routine. This first few times you work on these exercises may seem a bit labored though. This collection of worksheets and lessons help students learn to use and identify fractions and whole numbers in different settings and context.

### Aligned Standard: Grade 4 Fractions - 4.NF.4

- Multiplying a Fraction on a Numbers Line: Step-by-Step Lesson- A nice way to skip to the fractions.
- Guided Lesson - I included fraction progressions to help you solve the problems. Baby steps, if you would.
- Guided Lesson Explanation - There are many ways to do these problems. This is the way I find it easiest to explain it to students.
- Practice Worksheet - Multiply the model of fraction by a whole number. A neat way to look at it.
- Matching Worksheet - We go even further than the practice sheet. Not digits, only fraction models.

- Answer Keys - These are for all the unlocked materials above.

### 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 3/7, Ray painted 2/7 and 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.

### How Do You Represent Fractions and Whole Numbers in Words?

Mathematics is all about learning the concept behind solving different kinds of problems. Therefore, with the help of visuals, words, and symbols the concept can be understood easily. Here we will present you with some visuals which can help you understand fractions and whole numbers a bit better. We will also tell you the way to write fractions and the whole numbers that accompany them in words. In affect you are learning how write a mixed number in words.

We have already covered naming whole numbers much earlier in the curriculum. Where students get lost is what to do with the fraction in the naming process. We should remind ourselves that a fraction consists of two parts. The top number (numerator) which tells us how many parts of a whole that we have. When naming fraction, we name the numerator first. We then follow the numerator with a hyphen or dash (-). After the dash we name how many parts there are to one whole unit. This is called the denominator and is the bottom number of the fraction. When we write the denominator, we write it in ordinal form and pluralize it. **To recap, when writing a fraction in words we:**

1. Write the numerator first in words in cardinal number (one, two, three…) form.

2. Write a dash or hyphen as a separator.

3. Write the denominator in words in ordinal number (thirds, fourths, fifths…) form.

To write a mixed number in word form, we just put all this together:

a) Whole Number Name b) the word "and" c) numerator (cardinal form) d) dash (-) e) denominator (ordinal form)

**Example:** Name the mixed number - 4 ⅔

a) Four (whole number) b) and c) two (cardinal) d) – e) thirds (ordinal)

Putting this altogether it would be named: Four and two-thirds.

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.