Like and Unlike Fractions

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 like fractions.

In group (ii) the denominator of each fraction is different, i.e., the denominators of all the fractions are different. 

The fractions with different denominators are called unlike fractions.

Examples of like fractions are: 

(a) (2/9, 3/9, 5/9, 9/9);

(b) (3/10, 7/10, 1/10, 9/10);

(c) (1/7, 2/7, 4/7, 5/7, 7/7)


Examples unlike fractions are:

(a) (1/2, 1/4, 2/3, 5/6)

(b) (3/8, 2/3, 3/5, 2/7)

(c) (1/9, 2/7, 3/4, 2/5).



Like Fractions:

Observe the following figures.

Like Fractions

The fraction \(\frac{1}{8}\), \(\frac{2}{8}\), \(\frac{3}{8}\) have the same denominator. Such fractions are called like fractions.


Unlike Fractions:

Unlike Fractions

In figure (i) one part is shaded out of 3 parts, the fraction represented is \(\frac{1}{3}\).

In figure (ii) has two parts shaded out of 3 parts, the fraction represented is \(\frac{2}{5}\).

In figure (iii) we have three parts shaded out of 7 parts, the fraction represented is \(\frac{3}{7}\).

The fraction \(\frac{1}{3}\), \(\frac{2}{5}\), \(\frac{3}{7}\) have different denominators. Such fractions are called unlike fractions.


Worksheet on Like and Unlike Fractions:

1. Which of the following is a set of like fractions?

(i) \(\frac{1}{9}\), \(\frac{5}{9}\), \(\frac{4}{9}\), \(\frac{11}{9}\) 

(iii) \(\frac{4}{11}\), \(\frac{5}{8}\), \(\frac{7}{9}\), \(\frac{1}{7}\) 

(ii) \(\frac{1}{7}\), \(\frac{2}{8}\), \(\frac{4}{19}\), \(\frac{7}{6}\)

(iv) \(\frac{4}{11}\), \(\frac{5}{8}\), \(\frac{7}{9}\), \(\frac{1}{7}\)

Answer:

1. (i) First set is like fractions because denominators are the same.


2. Which of the following is a set of unlike fractions?

(i) \(\frac{1}{13}\), \(\frac{13}{15}\), \(\frac{15}{17}\), \(\frac{17}{19}\)

(iii) \(\frac{4}{16}\), \(\frac{1}{16}\), \(\frac{2}{16}\), \(\frac{9}{16}\)

(ii) \(\frac{4}{12}\), \(\frac{5}{12}\), \(\frac{8}{12}\), \(\frac{9}{12}\)

(iv) \(\frac{8}{9}\), \(\frac{1}{7}\), \(\frac{7}{8}\), \(\frac{8}{11}\)

Answer:

2. (i) First and fourth sets are unlike fractions because denominators are not the same



You might like these

Related Concept

Fraction of a Whole Numbers

Representation of a Fraction

Equivalent Fractions

Properties of Equivalent Fractions

Like and Unlike Fractions

Comparison of Like Fractions

Comparison of Fractions having the same Numerator

Types of Fractions

Changing Fractions

Conversion of Fractions into Fractions having Same Denominator

Conversion of a Fraction into its Smallest and Simplest Form

Addition of Fractions having the Same Denominator

Subtraction of Fractions having the Same Denominator

Addition and Subtraction of Fractions on the Fraction Number Line







4th Grade Math Activities

From Like and Unlike Fractions to HOME PAGE


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.



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.



Share this page: What’s this?

Recent Articles

  1. Properties of Multiplication | Multiplicative Identity | Whole Numbers

    Mar 29, 24 09:02 AM

    Properties of Multiplication of Whole Numbers
    There are six properties of multiplication of whole numbers that will help to solve the problems easily. The six properties of multiplication are Closure Property, Commutative Property, Zero Property…

    Read More

  2. Multiplication of a Number by a 3-Digit Number |3-Digit Multiplication

    Mar 28, 24 06:33 PM

    Multiplying by 3-Digit Number
    In multiplication of a number by a 3-digit number are explained here step by step. Consider the following examples on multiplication of a number by a 3-digit number: 1. Find the product of 36 × 137

    Read More

  3. Multiply a Number by a 2-Digit Number | Multiplying 2-Digit by 2-Digit

    Mar 27, 24 05:21 PM

    Multiply 2-Digit Numbers by a 2-Digit Numbers
    How to multiply a number by a 2-digit number? We shall revise here to multiply 2-digit and 3-digit numbers by a 2-digit number (multiplier) as well as learn another procedure for the multiplication of…

    Read More

  4. Multiplication by 1-digit Number | Multiplying 1-Digit by 4-Digit

    Mar 26, 24 04:14 PM

    Multiplication by 1-digit Number
    How to Multiply by a 1-Digit Number We will learn how to multiply any number by a one-digit number. Multiply 2154 and 4. Solution: Step I: Arrange the numbers vertically. Step II: First multiply the d…

    Read More

  5. Multiplying 3-Digit Number by 1-Digit Number | Three-Digit Multiplicat

    Mar 25, 24 05:36 PM

    Multiplying 3-Digit Number by 1-Digit Number
    Here we will learn multiplying 3-digit number by 1-digit number. In two different ways we will learn to multiply a two-digit number by a one-digit number. 1. Multiply 201 by 3 Step I: Arrange the numb…

    Read More