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




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

RSS

  1. Adding 1-Digit Number | Understand the Concept one Digit Number

    Sep 17, 24 02:25 AM

    Add by Counting Forward
    Understand the concept of adding 1-digit number with the help of objects as well as numbers.

    Read More

  2. Counting Before, After and Between Numbers up to 10 | Number Counting

    Sep 17, 24 01:47 AM

    Before After Between
    Counting before, after and between numbers up to 10 improves the child’s counting skills.

    Read More

  3. Worksheet on Three-digit Numbers | Write the Missing Numbers | Pattern

    Sep 17, 24 12:10 AM

    Reading 3-digit Numbers
    Practice the questions given in worksheet on three-digit numbers. The questions are based on writing the missing number in the correct order, patterns, 3-digit number in words, number names in figures…

    Read More

  4. Arranging Numbers | Ascending Order | Descending Order |Compare Digits

    Sep 16, 24 11:24 PM

    Arranging Numbers
    We know, while arranging numbers from the smallest number to the largest number, then the numbers are arranged in ascending order. Vice-versa while arranging numbers from the largest number to the sma…

    Read More

  5. Worksheet on Tens and Ones | Math Place Value |Tens and Ones Questions

    Sep 16, 24 02:40 PM

    Tens and Ones
    In math place value the worksheet on tens and ones questions are given below so that students can do enough practice which will help the kids to learn further numbers.

    Read More