# 5th Grade Fractions

In 5th Grade Fractions we will discuss about definition of fraction, concept of fractions and different types of examples on fractions.

A fraction is a number representing a part of a whole. The whole may be a single object or a group of objects.

Definition of Fraction: A number that compares part of an object or set with the whole, especially the quotient of two whole numbers, written in the form of $$\frac{x}{y}$$ is called a fraction.

The fraction $$\frac{2}{5}$$, which means 2 divided by 5, can be represented as 2 books out of a box of 5 books.

A fraction is a

(i) part of a whole

(ii) part of a collection

## Concept of 5th Grade Fractions:

A fraction is a number which represents/indicates a part or parts of a whole. Fractions can be represented in three ways:

(i) Fraction as a Part of a Whole:

In the given figure, the coloured parts represent $$\frac{5}{8}$$ of the whole,

i.e., $$\frac{5}{8}$$ 5 indicates 5 parts out of 8 equal parts of a whole.

So, $$\frac{5}{8}$$ is a fraction.

5      Numerator
8  →  Denominator

Clearly, a fraction comprises two numbers separated by a horizontal line. The number above the horizontal line is called the numerator and the number below the horizontal line is called the denominator of the fraction.

(ii) Fraction as a Part of a Collection:

We can find the fractional part of a collection by dividing the collection into subgroups equal to the number representing the denominator of the fraction. Then, we take the number of subgroups equal to the number representing the numerator of the fraction.

Consider a collection of 9 balls. If we divide this collection into three equal parts, we get 3 balls in each of the three parts.

Thus, one-third of 9 is 3.

i.e., $$\frac{1}{3}$$ of 9 = 9 × $$\frac{1}{3}$$ = $$\frac{9}{3}$$ = 3

(iii) Fraction as Division:

A fraction can be expressed as a division. Conversely, division can be expressed as fraction.

If 42 pencils are distributed equally among 7 students then each student will get 42 ÷ 7 = 6 pencils.

But if 1 mango is to be distributed among 4 students, then how many mango will a student get?

Obviously, each student gets 1 ÷ 4 i.e., $$\frac{1}{4}$$ mango.

### Following are Some Examples of 5th Grade Fractions:

(i) Consider the fraction $$\frac{7}{12}$$. This fraction is read as ”seven-twelfth” which means that 7 parts out of 12 equal parts in which the whole is divided. In the fraction $$\frac{7}{12}$$, 7 is called the numerator and 12 is called the denominator.

(ii) The fraction $$\frac{5}{7}$$ is read as ”five-seventh” which means that 5 parts out of 7 equal parts in which the whole is divided. In the fraction $$\frac{5}{7}$$, 5 is called the numerator and 7 is called the denominator.

(iii) The fraction $$\frac{3}{10}$$ is read as ”three-tenth” which means that 3 parts out of 10 equal parts in which the whole is divided. In the fraction $$\frac{3}{10}$$, 3 is called the numerator and 10 is called the denominator.

(iv) The fraction $$\frac{1}{5}$$ is read as ”one-fifth” which means that 1 parts out of 5 equal parts in which the whole is divided. In the fraction $$\frac{1}{5}$$, 1 is called the numerator and 5 is called the denominator.

For example on 5th Grade Fractions:

1. Mrs. Brown has 24 apples. She ate $$\frac{1}{4}$$ of them.

(i) How many apples does she eat?

(ii) How many does she have left?

Solution:

(i) Here the fraction $$\frac{1}{4}$$ means take 1 part from 4 equal parts.

So, arrange 24 apples in four equal groups.

Clearly, each group will contain 24 ÷ 4 = 6 apples.

Thus, $$\frac{1}{4}$$ of 24 is 6.

Hence, Mrs. Brown ate 6 apples.

(ii) Number of left out apples = 24 – 6 = 18.

2. Andrea has a packet of 20 biscuits. She gives $$\frac{1}{2}$$ of them to Andy and $$\frac{1}{4}$$ of them to Sally. The rest she keeps.

(i) How many biscuits does Andy get?

(ii) How many biscuits does Sally get?

(iii) How many biscuits does Andrea keep?

Solution:

(i) Here, $$\frac{1}{2}$$ of 20 means take 1 part from two equal parts.

So, we arrange 20 biscuits in two equal parts.

Clearly, each part will contain 20 ÷ 2 = 10 biscuits.

Therefore, $$\frac{1}{2}$$ of 20 is 10.

Hence, Andy gets 10 biscuits.

(ii) $$\frac{1}{4}$$ of 20 means take 1 part from four equal parts.

So, we arrange 20 biscuits in four equal parts.

Clearly, each part will contain 20 ÷ 4 = 5 biscuits.

Therefore, $$\frac{1}{4}$$ of 20 is 5.

Hence, Sally gets 5 biscuits.

(iii) Clearly, left out biscuits are kept by Andrea.

Therefore, Andrea keeps 20 – 10 – 5 = 5 biscuits.

5th Grade Fractions

3. What fraction of a day is 8 hours?

Solution:

We have,

One day = 12 hours.

Therefore, 8 hours = $$\frac{8}{12}$$ of a day.

Hence, 8 hours is $$\frac{8}{12}$$ part of a day.

4. Determine $$\frac{2}{3}$$ of a collection of 9 balls.

Solution:

In order to find $$\frac{2}{3}$$ of a collection of 9 balls, we divide the collection of 9 balls in 3 equal parts and take 2 such parts. Clearly, each row has $$\frac{9}{3}$$ = 3 balls.

When, we take 2 rows out of 3 rows. It represents $$\frac{2}{3}$$ of 9 balls. There are 6 balls in 2 rows.

Hence, $$\frac{2}{3}$$ of 9 balls = 6 balls.

## You might like these

• ### Conversion of Mixed Fractions into Improper Fractions |Solved Examples

To convert a mixed number into an improper fraction, we multiply the whole number by the denominator of the proper fraction and then to the product add the numerator of the fraction to get the numerator of the improper fraction. I

• ### Types of Fractions |Proper Fraction |Improper Fraction |Mixed Fraction

The three types of fractions are : Proper fraction, Improper fraction, Mixed fraction, Proper fraction: Fractions whose numerators are less than the denominators are called proper fractions. (Numerator < denominator). Two parts are shaded in the above diagram.

• ### Word Problems on Fraction | Math Fraction Word Problems |Fraction Math

In word problems on fraction we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers.

• ### Conversion of Improper Fractions into Mixed Fractions |Solved Examples

In conversion of improper fractions into mixed fractions, we follow the following steps: Step I: Obtain the improper fraction. Step II: Divide the numerator by the denominator and obtain the quotient and remainder. Step III: Write the mixed fraction

• ### Equivalent Fractions | Fractions |Reduced to the Lowest Term |Examples

The fractions having the same value are called equivalent fractions. Their numerator and denominator can be different but, they represent the same part of a whole. We can see the shade portion with respect to the whole shape in the figures from (i) to (viii) In; (i) Shaded

• ### Subtraction of Fractions having the Same Denominator | Like Fractions

To find the difference between like fractions we subtract the smaller numerator from the greater numerator. In subtraction of fractions having the same denominator, we just need to subtract the numerators of the fractions.

• ### Comparison of Like Fractions | Comparing Fractions | Like Fractions

Any two like fractions can be compared by comparing their numerators. The fraction with larger numerator is greater than the fraction with smaller numerator, for example $$\frac{7}{13}$$ > $$\frac{2}{13}$$ because 7 > 2. In comparison of like fractions here are some

• ### Comparison of Fractions having the same Numerator|Ordering of Fraction

In comparison of fractions having the same numerator the following rectangular figures having the same lengths are divided in different parts to show different denominators. 3/10 < 3/5 < 3/4 or 3/4 > 3/5 > 3/10 In the fractions having the same numerator, that fraction is

• ### Worksheet on Comparison of Like Fractions | Greater & Smaller Fraction

In worksheet on comparison of like fractions, all grade students can practice the questions on comparison of like fractions. This exercise sheet on comparison of like fractions can be practiced

• ### Like and Unlike Fractions | Like Fractions |Unlike Fractions |Examples

Like and unlike fractions are the two groups of fractions: (i) 1/5, 3/5, 2/5, 4/5, 6/5 (ii) 3/4, 5/6, 1/3, 4/7, 9/9 In group (i) the denominator of each fraction is 5, i.e., the denominators of the fractions are equal. The fractions with the same denominators are called

• ### Fraction of a Whole Numbers | Fractional Number |Examples with Picture

Fraction of a whole numbers are explained here with 4 following examples. There are three shapes: (a) circle-shape (b) rectangle-shape and (c) square-shape. Each one is divided into 4 equal parts. One part is shaded, i.e., one-fourth of the shape is shaded and three

• ### Worksheet on Fractions | Questions on Fractions | Representation | Ans

In worksheet on fractions, all grade students can practice the questions on fractions on a whole number and also on representation of a fraction. This exercise sheet on fractions can be practiced

• ### Representations of Fractions on a Number Line | Examples | Worksheet

In representations of fractions on a number line we can show fractions on a number line. In order to represent 1/2 on the number line, draw the number line and mark a point A to represent 1.

• ### Comparing Unlike Fractions | Unlike Fractions | Equivalent Fraction

In comparing unlike fractions, we first convert them into like fractions by using the following steps and then compare them. Step I: Obtain the denominators of the fractions and find their LCM (least common multiple). Step II: Each fractions are converted to its equivalent

• ### Worksheet on Word Problems on Fractions | Fraction Word Problems | Ans

In worksheet on word problems on fractions we will solve different types of word problems on multiplication of fractions, word problems on division of fractions etc... 1. How many one-fifths

Representations of Fractions on a Number Line

Fraction as Division

Types of Fractions

Conversion of Mixed Fractions into Improper Fractions

Conversion of Improper Fractions into Mixed Fractions

Equivalent Fractions

Interesting Fact about Equivalent Fractions

Fractions in Lowest Terms

Like and Unlike Fractions

Comparing Like Fractions

Comparing Unlike Fractions

Addition and Subtraction of Like Fractions

Addition and Subtraction of Unlike Fractions

Inserting a Fraction between Two Given Fractions

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

### New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.
 Share this page: What’s this?

## Recent Articles

1. ### Lines of Symmetry | Symmetry of Geometrical Figures | List of Examples

Aug 10, 24 04:59 PM

Learn about lines of symmetry in different geometrical shapes. It is not necessary that all the figures possess a line or lines of symmetry in different figures.

Read More

2. ### Symmetrical Shapes | One, Two, Three, Four & Many-line Symmetry

Aug 10, 24 02:25 AM

Symmetrical shapes are discussed here in this topic. Any object or shape which can be cut in two equal halves in such a way that both the parts are exactly the same is called symmetrical. The line whi…

Read More

3. ### 6th Grade Math Practice | Table of Contents | Worksheets |Videos |Math

Aug 10, 24 01:59 AM

In 6th grade math practice you will get all types of examples on different topics along with the step-by-step explanation of the solutions.

Read More

4. ### 6th Grade Algebra Worksheet | Pre-Algebra worksheets with Free Answers

Aug 10, 24 01:57 AM

In 6th Grade Algebra Worksheet you will get different types of questions on basic concept of algebra, questions on number pattern, dot pattern, number sequence pattern, pattern from matchsticks, conce…

Read More

5. ### Solution of an Equation | Trial and Error Method |Transposition Method

Aug 06, 24 02:12 AM

A solution of an equation is a value of the unknown variable that satisfy the equation. A number, which when substituted for the variable in an equation makes its L.H.S equal to the R.H.S, is said to…

Read More