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
i.e., a/b = c/d ⇔ a × d = b × c
● Fractions
Addition and Subtraction of Fractions
● Fractions - Worksheets
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.
Recent Articles
-
Worksheets on Comparison of Numbers | Find the Greatest Number
Oct 10, 24 05:15 PM
In worksheets on comparison of numbers students can practice the questions for fourth grade to compare numbers. This worksheet contains questions on numbers like to find the greatest number, arranging… -
Counting Before, After and Between Numbers up to 10 | Number Counting
Oct 10, 24 10:06 AM
Counting before, after and between numbers up to 10 improves the child’s counting skills. -
Expanded Form of a Number | Writing Numbers in Expanded Form | Values
Oct 10, 24 03:19 AM
We know that the number written as sum of the place-values of its digits is called the expanded form of a number. In expanded form of a number, the number is shown according to the place values of its… -
Place Value | Place, Place Value and Face Value | Grouping the Digits
Oct 09, 24 05:16 PM
The place value of a digit in a number is the value it holds to be at the place in the number. We know about the place value and face value of a digit and we will learn about it in details. We know th… -
3-digit Numbers on an Abacus | Learning Three Digit Numbers | Math
Oct 08, 24 10:53 AM
We already know about hundreds, tens and ones. Now let us learn how to represent 3-digit numbers on an abacus. We know, an abacus is a tool or a toy for counting. An abacus which has three rods.
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.