Equivalent Fractions Number Line

Introduction to equivalent fractions number line:

Fractions:

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, ?, ¾, etc.) and which consist of a numerator and a denominator.

Equivalent fractions:

Two or more fractions has the same value is known as equivalent fractions.

In this article we are going to see about equivalent fractions number line and  some problems based on equivalent fractions number line.

Equivalent Fractions Number Line :

The equivalent fractions number line used to show the equivalent fractions in chart. The following figure shows the equivalent fractions number line.

Fig(i) Equivalent fractions number line

The above figure shows the equivalent fraction number line for 1/8 .

By using this number line, we get equivalent fractions of 1/8 is 2/16. Let us see some problems on finding equivalent fractions .

Between, if you have problem on these topics how to multiply 3 fractions, please browse expert math related websites for more help on how to divide and multiply fractions.

Problems Equivalent Fractions Number Line :

Problem 1:

Find 2 equivalent fractions to 3/5

Solution:

Given , fraction 3/5

We need to find the equivalent fraction to `3/5`

Multiply 3/5 by 2 on both numerator and denominator,

`3/5` = `( 3 * 2 ) / (5 * 2)`

= `6/ 10`

Equivalent fraction to `3/5 ` = `6 / 10` .

Multiply `3/5` by 5 on both numerator and denominator,

`3/5` = `( 3 * 5) / ( 5 * 5 )`

= `15/ 25`

Equivalent fraction to `3/5` = `6 /10` = `15 /25`

Answer: 2 equivalent fractions of `3 / 5` is `6/ 10` , `15 /25`

Problem 2:

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`

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`

Problem 3:

Find the 3 equivalent fractions of `8/12` .

Solution:

Given, The fraction `8/12` .

We need to find the equivalent fraction to `8/12`

Multiply `8/12` by 2 on both numerator and denominator,

`8/12` = `( 8 * 2 ) / (12 * 2)`

= `16/ 24`

Equivalent fraction to `8/12 ` = `16 / 24` .

Multiply  8/12 by 5 on both numerator and denominator,

`8/12 ` = `( 8*5) / ( 12*5 )`

= ` 40/ 60`

Equivalen fraction to `8/12` = `16 / 24` = `40/60`

For another equivalent fraction, Multiply ` 8/12` by 3 on both numerator and denominator,

`8/12` = `( 8* 3 ) / (12 * 3)`

= `24/ 36`

Answer: 3 equivalent fraction of `8/ 12` is `16/ 24` , `40/ 60` , `24 /36`