Subscribe to our YouTube channel for the latest videos, updates, and tips.


Equivalent Fractions


What are called equivalent fractions?

A given fraction and various fractions obtained by multiplying (or dividing) its numerator and denominator both by the same non-zero number, are called equivalent fractions.

In other-words:

If two or more fraction have the same value, then they are called the equivalent or equal fractions

The value of the fraction does not change if both the numerator and the denominator are multiplied by the same natural number.



(i) (3 × 2)/(4 × 2) = 6/8, (3 × 3)/(4 × 3) = 9/12, (3 × 4)/(4 × 4) = 12/16 etc. are equivalent fractions equivalent to the fraction 3/4.





(ii) 1/3 = (1 × 3)/(3 × 3) = 3/9;

1/3 = (1 × 6)/(3 × 6) = 6/18;

1/3 = (1 × 9)/(3 × 9) = 9/27 and so on.

So, 1/3, 3/9, 6/18, 9/27, etc., are equivalent fractions.


(iii) 45/27 = (45 ÷ 3)/(27 ÷ 3) = 15/9;

45/27 = (45 ÷ 9)/(27 ÷ 9) = 5/3

So, 45/27, 15/9, 5/3, etc., are equivalent fractions.


We have,

8/28 = (8 ÷ 4)/(28 ÷ 4) = 2/7 , 10/35 = ( 10 ÷ 5)/(35 ÷ 5) = 2/7

8/28 and 10/35 are equivalent fractions equivalent to the fraction 2/7

If a/b and c/d are two equivalent fractions, then

a × d = b × c

Equivalent Fractions







i.e., a/b = c/d ⇔ a × d = b × c




 Fractions

Fractions

Types of Fractions

Equivalent Fractions

Like and Unlike Fractions

Conversion of Fractions

Fraction in Lowest Terms

Addition and Subtraction of Fractions

Multiplication of Fractions

Division of Fractions


 Fractions - Worksheets

Worksheet on Fractions

Worksheet on Multiplication of Fractions

Worksheet on Division of Fractions














7th Grade Math Problems

From Equivalent 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

  1. Average Word Problems | Worksheet on Average Questions with Answers

    May 20, 25 05:40 PM

    In average word problems we will solve different types of problems on basic concept of average. 1. Richard scored 80, 53, 19, 77, 29 and 96 runs in 6 innings in a series. Find the average runs scored…

    Read More

  2. Worksheet on Average | Word Problem on Average | Questions on Average

    May 19, 25 02:53 PM

    Worksheet on Average
    In worksheet on average we will solve different types of questions on the concept of average, calculating the average of the given quantities and application of average in different problems.

    Read More

  3. 8 Times Table | Multiplication Table of 8 | Read Eight Times Table

    May 18, 25 04:33 PM

    Printable eight times table
    In 8 times table we will memorize the multiplication table. Printable multiplication table is also available for the homeschoolers. 8 × 0 = 0 8 × 1 = 8 8 × 2 = 16 8 × 3 = 24 8 × 4 = 32 8 × 5 = 40

    Read More

  4. How to Find the Average in Math? | What Does Average Mean? |Definition

    May 17, 25 04:04 PM

    Average 2
    Average means a number which is between the largest and the smallest number. Average can be calculated only for similar quantities and not for dissimilar quantities.

    Read More

  5. Problems Based on Average | Word Problems |Calculating Arithmetic Mean

    May 17, 25 03:47 PM

    Here we will learn to solve the three important types of word problems based on average. The questions are mainly based on average or mean, weighted average and average speed.

    Read More