# Fractions of a Number Worksheets

Finding the fractional value of a number is a skill that crosses all the branches of mathematics. This is a foundational skill that you will need to rely on in algebra and even when you get to more advanced forms of calculus. If you can help students understand the basic concept of what is happening here when you take a fraction of number, the math is quite simple. I find that students just struggle with understanding what the overall process. Once you help them with that, they get comfortable with this skill really quick. This selection of worksheets and lessons shows students how to find the fractional value of an integer. We do this by breaking them into shared groups.

### Aligned Standard: 6.NS.A.1

- Fractions of Wholes Step-by-Step Lesson- I like to think about this type of problem as breaking things into groups.
- Guided Lesson - We start to pick apart larger numbers.
- Guided Lesson Explanation - This sets up a nice set of routines to help students complete it.
- Horizontal Worksheet 5 Pack -This makes for a great rapid fire exercise with students.
- Practice Worksheet - I tried to class this worksheet up with a suit.
- Matching Worksheet - Don't get tricked on number 6.
- Fractions of Whole Numbers Five Pack - We introduce some top heavy fractions to this.
- Connecting Fractions to Integers Lesson and Practice - There are visuals to go along with each and every problem.
- Fractions of Numbers Lesson - We ask you to finalize the number as mixed number.
- Ordering the Value of Fractions Worksheet - A comparison activity that helps put everything about this skill into perspective.
- The Relationship of Fractions and Integers Worksheet - I have to admit that this is a pretty cool activity.

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

### Homework Sheets

We start with straight up problems and then number 3 shifts their whole mind set.

- Homework 1 - What is 1/6 of 36?
- Homework 2 - Multiply 3/6 by 4 to find this one.
- Homework 3 - If you divide something into two of the equal parts, then either part is one-second of the whole.

### Practice Worksheets

I like to get them in the habit of just using products to help them solve these.

- Practice 1 - Break them into equal groups. Since these are all ones, just divide by the denominator.
- Practice 2 - The bottom value tells you how many equal parts you need to make.
- Practice 3 - Find the fractional part of the given number.

### Math Skill Quizzes

I presented the quizzes in a completely different way then all the other sheets.

- Quiz 1 - Order the fractions from least to greatest.
- Quiz 2 - Some of the problems are setup for you, just run them.
- Quiz 3 - Number nine usually stumps them.

### How to Find the Fraction of a Number

A fraction is a common method that is used for expressing rational numbers which are not whole numbers. Fraction can be used for determining the partial value of rational numbers. The concept of fractions is taught generally at the grade school level and mastered before advancing into more difficult math stages. Identifying the components of a fraction is also important. Fraction is defined by the expression a/b. Here a and b are integers, and within the fraction a is the numerator and b is the denominator.

In order to find the fraction of an integer, you need to calculate the fraction of a whole number by multiplying that number by its numerator and then dividing that product with the denominator. Thus, the fraction a/b of a whole number x is given by ax/b.

Let's try to understand that with the help of an example. 3/4 of 21 is 3 multiplied by 21 and then divided by 4 or in simple terms, 63/4. This is called an improper fraction because here the numerator is bigger than the denominator.

### When We Use This Skill in the Real World

You will often find fractions of a number whenever you need to spilt or share the value of something over several people, parts, or objects. When you go to a restaurant with your friends and the bill comes, you will need to decide how much everyone owes. Guess what skill comes in handy here? What about when you are about when you are about to bake your favorite recipe? Many times, we will have a fixed receipt that makes 6 cupcakes, but what if you needed to make 20 cupcakes or only 3? In sports the production of points, goals, or runs can be attributed to one or several players using this skill. When a coach is evaluating their team, they can use this skill to best understand which player is having a great season and also identify who may be struggling and needs a little extra time with the coach and their staff.