Greater or Smaller Fraction

How to identify whether the fraction is greater or smaller fraction between the given pairs of fractions?

If a paper rectangle is taken with 8 cm as its length and folded to make 8 equal parts, we can get an idea of the magnitude of the different equal parts.

4/8 or 1/2 covers more space than 3/8, 2/8 or 1/4, 1/8 etc.

Hence, 4/8 > 3/8 > 2/8 > 1/8 or 1/8 < 2/8 < 3/8 < 4/8

In the diagram given alongside, the rectangular papers having the same length are divided into 4 and 3 parts.

It is clear that 1/4 covers less space than 1/3

Therefore, 1/4 < 1/3 or 1/3 > ¼

So, in fractions having the same denominator but different numerators, that fraction which has the greater numerator is greater. If the numerators are the same but denominators are different, that fraction which has the smaller denominator is greater.

The examples will help us to learn how to find the greater (>) or smaller (<) fraction among the two fractions.


Worked-out examples on greater or smaller fraction:

1. Which is greater?

(i) 1/8 or 4/8

Solution:

1/8 or 4/8 both the fractions have equal denominators are 8 and numerators as 4 > 1.

Therefore, 4/8 > 1/8

(ii) 2/3 or 1/3

Solution:

2/3 or 1/3 both the fractions have equal denominators are 3 and numerators as 2 > 1.

Therefore, 2/3 > 1/3

(iii) 4/7 or 3/7

Solution:

4/7 or 3/7 both the fractions have equal denominators are 7 and numerators as 4 > 3.

Therefore, 4/7 > 3/7


2. Which is greater?

(i) 1/6 or 1/7

Solution:

1/6 or 1/7 both the fractions have equal numerators are 1 and denominators as 6 < 7.

Therefore, 1/6 > 1/7

(ii) 2/9 or 2/10

Solution:

2/9 or 2/10 both the fractions have equal numerators are 2 and denominators as 9 < 10.

Therefore, 2/9 > 2/10

(iii) 9/16 or 9/19

Solution:

9/16 or 9/19 both the fractions have equal numerators are 9 and denominators as 16 < 19.

Therefore, 9/16 > 9/19

Related Concepts

Fraction as a Part of a Whole

Fraction as a Part of Collection

Convert a Fraction to an Equivalent Fraction

Verify Equivalent Fractions

Proper Fraction and Improper Fraction








3rd Grade Math Worksheets

3rd Grade Math Lessons

From Greater or Smaller Fraction 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.



Share this page: What’s this?

Recent Articles

  1. Time Duration |How to Calculate the Time Duration (in Hours & Minutes)

    Apr 17, 24 01:32 PM

    Duration of Time
    We will learn how to calculate the time duration in minutes and in hours. Time Duration (in minutes) Ron and Clara play badminton every evening. Yesterday, their game started at 5 : 15 p.m.

    Read More

  2. Worksheet on Third Grade Geometrical Shapes | Questions on Geometry

    Apr 16, 24 02:00 AM

    Worksheet on Geometrical Shapes
    Practice the math worksheet on third grade geometrical shapes. The questions will help the students to get prepared for the third grade geometry test. 1. Name the types of surfaces that you know. 2. W…

    Read More

  3. 4th Grade Mental Math on Factors and Multiples |Worksheet with Answers

    Apr 16, 24 01:15 AM

    In 4th grade mental math on factors and multiples students can practice different questions on prime numbers, properties of prime numbers, factors, properties of factors, even numbers, odd numbers, pr…

    Read More

  4. Worksheet on Factors and Multiples | Find the Missing Factors | Answer

    Apr 15, 24 11:30 PM

    Worksheet on Factors and Multiples
    Practice the questions given in the worksheet on factors and multiples. 1. Find out the even numbers. 27, 36, 48, 125, 360, 453, 518, 423, 54, 58, 917, 186, 423, 928, 358 2. Find out the odd numbers.

    Read More

  5. Method of L.C.M. | Finding L.C.M. | Smallest Common Multiple | Common

    Apr 15, 24 02:33 PM

    LCM of 24 and 30
    We will discuss here about the method of l.c.m. (least common multiple). Let us consider the numbers 8, 12 and 16. Multiples of 8 are → 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, ......

    Read More