Fraction with equivalent value
Introduction :
A fraction is a number that can represent part of a whole. The earliest fractions were reciprocals of integers: ancient symbols representing one part of two, one part of three, one part of four, and so on. A much later development was the common or "vulgar" fractions which are still used today (½, ⅝, ¾, etc.) and which consist of a numerator and a denominator. (Source: Wikipedia)
Equivalent value : The fractions that are has the equal value is known as equal fractions.
In this article , we are going to see how to find the equivalent value fraction and problems on fractions with equivalent value.
Method to find fractions with equivalent value:
Before we get into the problem let us know how to do equivalent fractions for the fraction.
General method to find the fractions with equivalent value:
To find the equivalent fractions of a given fraction, Multiply and divide the fraction by the same number or multiply the fraction by any number on both numerator and denominator or divide the fraction by any number on both numerator and denominator.
Let us see some problems based on fractions with equivalent value.
Problems on fractions with equivalent value :
Problem 1:
Find the fractions with equivalent value for 11/50
Solutions:
Given, Fraction 11/50
We need to find the equivalent fractions of 11/50
Multiply 11/50 by 2 on both numerator and denominator,
`11/50` = `( 11* 2 ) / (50 * 2)`
= `22 / 100`
Equivalent fraction to `11/50 ` = `22 / 100` .
Multiply 11/50 by 5 on both numerator and denominator,
`11/50` = `( 11*5) / ( 50*5 )`
= ` 55/ 250`
Equivalent fraction to `11/50` = `22 / 100` = `55 /250`
For another equivalent fraction, Multiply ` 11/50` by 3 on both numerator and denominator,
`11/50` = `( 11* 3 ) / (50 * 3)`
= ` 33 / 150`
Answer: 3 equivalent fractions of `11 / 50` is `22/ 100` , `55/ 250` , `33 / 150`
Problem 2:
Find fractions with equal value for 2 /3 ?
Solution:
Given, The fraction `2/3` .
We need to find the equal fraction to `2/3`
Multiply 2/3 by 2 on both numerator and denominator,
`2/3` = `( 2 * 2 ) / (3 * 2)`
= `4/ 6`
Equivalent fraction to `2/3 ` = `4 / 6` .
Multiply `2/3` by 5 on both numerator and denominator,
`2/3` = `( 2 * 5) / ( 3 * 5 )`
= `10/ 15`
Equal fraction to `2/3` = `4 /6` = `10 /15`
For another equal fraction, Multiply ` 2/3` by 3 on both numerator and denominator,
`2/3` = `( 2* 3 ) / (3 * 3)`
= `6 / 9`
Answer:Equal fraction of `2 / 3` is `4 / 6` , `10 / 15` , `6 / 9`
Problem 3:
Find the 3 equivalent fractions of `2/15` .
Solution:
Given, The fraction `2/15` .
We need to find the equivalent fraction to `2/15`
Multiply `2/15` by 2 on both numerator and denominator,
`2/15` = `( 2 * 2 ) / (15 * 2)`
= `4/ 30`
Equivalent fraction to `2/15 ` = `4 / 30` .
Multiply 2/15 by 5 on both numerator and denominator,
`2/15 ` = `( 2*5) / ( 15*5 )`
= ` 10/ 75`
Equivalent fraction to `2/15` = `4 / 30` = `10/75`
For another equivalent fraction, Multiply ` 2/15` by 3 on both numerator and denominator,
`2/15` = `( 2* 3 ) / (15 * 3)`
= `6/ 45`
Answer: 3 equivalent fraction of `2/ 15` is `4/ 30` , `10/ 75` , `6 /45`
A fraction is a number that can represent part of a whole. The earliest fractions were reciprocals of integers: ancient symbols representing one part of two, one part of three, one part of four, and so on. A much later development was the common or "vulgar" fractions which are still used today (½, ⅝, ¾, etc.) and which consist of a numerator and a denominator. (Source: Wikipedia)
Equivalent value : The fractions that are has the equal value is known as equal fractions.
In this article , we are going to see how to find the equivalent value fraction and problems on fractions with equivalent value.
Method to find fractions with equivalent value:
Before we get into the problem let us know how to do equivalent fractions for the fraction.
General method to find the fractions with equivalent value:
To find the equivalent fractions of a given fraction, Multiply and divide the fraction by the same number or multiply the fraction by any number on both numerator and denominator or divide the fraction by any number on both numerator and denominator.
Let us see some problems based on fractions with equivalent value.
Problems on fractions with equivalent value :
Problem 1:
Find the fractions with equivalent value for 11/50
Solutions:
Given, Fraction 11/50
We need to find the equivalent fractions of 11/50
Multiply 11/50 by 2 on both numerator and denominator,
`11/50` = `( 11* 2 ) / (50 * 2)`
= `22 / 100`
Equivalent fraction to `11/50 ` = `22 / 100` .
Multiply 11/50 by 5 on both numerator and denominator,
`11/50` = `( 11*5) / ( 50*5 )`
= ` 55/ 250`
Equivalent fraction to `11/50` = `22 / 100` = `55 /250`
For another equivalent fraction, Multiply ` 11/50` by 3 on both numerator and denominator,
`11/50` = `( 11* 3 ) / (50 * 3)`
= ` 33 / 150`
Answer: 3 equivalent fractions of `11 / 50` is `22/ 100` , `55/ 250` , `33 / 150`
Problem 2:
Find fractions with equal value for 2 /3 ?
Solution:
Given, The fraction `2/3` .
We need to find the equal fraction to `2/3`
Multiply 2/3 by 2 on both numerator and denominator,
`2/3` = `( 2 * 2 ) / (3 * 2)`
= `4/ 6`
Equivalent fraction to `2/3 ` = `4 / 6` .
Multiply `2/3` by 5 on both numerator and denominator,
`2/3` = `( 2 * 5) / ( 3 * 5 )`
= `10/ 15`
Equal fraction to `2/3` = `4 /6` = `10 /15`
For another equal fraction, Multiply ` 2/3` by 3 on both numerator and denominator,
`2/3` = `( 2* 3 ) / (3 * 3)`
= `6 / 9`
Answer:Equal fraction of `2 / 3` is `4 / 6` , `10 / 15` , `6 / 9`
Problem 3:
Find the 3 equivalent fractions of `2/15` .
Solution:
Given, The fraction `2/15` .
We need to find the equivalent fraction to `2/15`
Multiply `2/15` by 2 on both numerator and denominator,
`2/15` = `( 2 * 2 ) / (15 * 2)`
= `4/ 30`
Equivalent fraction to `2/15 ` = `4 / 30` .
Multiply 2/15 by 5 on both numerator and denominator,
`2/15 ` = `( 2*5) / ( 15*5 )`
= ` 10/ 75`
Equivalent fraction to `2/15` = `4 / 30` = `10/75`
For another equivalent fraction, Multiply ` 2/15` by 3 on both numerator and denominator,
`2/15` = `( 2* 3 ) / (15 * 3)`
= `6/ 45`
Answer: 3 equivalent fraction of `2/ 15` is `4/ 30` , `10/ 75` , `6 /45`