Write Equivalent Fractions

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, ⅝, ¾, etc.) and which consist of a numerator and a denominator.(source : Wikipedia)

Equivalent fractions:

Two or more fractions that has the equal value is called as as equivalent fractions.

Through this article you can learn how to write the equivalent fractions and some sample problems on write equivalent fractions.

Write equivalent fractions:

Steps involved in write equivalent fractions:

To find the equivalent fraction of a given fraction , multiply the fraction by the same number on both numerator and denominator.

To find the equivalent fraction of a given fraction , divide the fraction by the same number on both numerator and denominator.

In next section we are going to see some problems on write equivalent fractions.

Problems on write equivalent fractions:

Problem 1:

Write the equivalent fractions for 2.5

Solution:

Given , 2.5

Multiply and divide 2.5 by 10,

2.5 × (10/10) = ( 2.5 × 10 ) / 10

= 25 /10

2.5 as the fraction 25/10.

More equivalent fractions can be obtained as follows,

For example,

2.5 = 25/10.

Divide 25/10 by 5  ,

( 25 ÷ 5 ) / ( 10 ÷ 5) = 5/ 2

2.5 = 25 / 10 = 5 / 2

By using the above procedure we can find more fractions equivalents to 2.5,

For example,

2.5 = 25 / 10 = 5 / 2

Multiply by 10 on both numerator and denominator of 5 / 2,

(5 * 10 ) / ( 2 * 10 ) = 50 /20

2.5 = 25 / 10 = 5 / 2 = 50 /20

Answer: Equivalent fractions of 2.5 = 25 / 10 = 5 / 2 = 50 /20

Problem 2:

Find the equivalent fractions of 8.

Solution:

Given , 8 as fraction.

Multiply and divide 8 by 10,

8 × (10/10) = ( 8 × 10 ) / 10

= 80 /10

8 as the fraction 80/10.

We can also express in other equivalent fractions.

For example,

8 = 80/10.

Divide 80/10 by 2  ,

( 80 ÷ 2 ) / ( 10 ÷ 2) = 40 / 5

8 = 80 / 10 = 40/ 5

We can also get other equivalent fractions by multiplying the fraction with the same number on both numerator and denominator.

For example, 8 = 80 / 10 = 40/ 5

Multiply by 5 on both numerator and denominator of 40 / 5,

(40 * 5 ) / ( 5 * 5 ) = 200/25

8 = 80 / 10 = 40/ 5 = 200/25

Answer: Equivalent fractions of 8 = 80 / 10 = 40/ 5 = 200/25

Problem 3:

Write equivalent fractions of  84.

Solution:

Given, 84 as fraction

To find the fraction of 84, multiply and divide 84 by the same number.

So multiply and divide 84 by 10,

84 * ( 10 / 10) = (84*10)/10

= 840/10

The fraction for 84 is 840 / 10.

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Like this we can find several equivalent fractions

For example,

Divide 840/10 by 5 on both numerator and denominator,

(840÷ 5) / ( 10 ÷ 5) = 168 / 2

84 = 840 / 10 = 168 / 2

Like this we can find more equivalent fractions for 84.

84 = 840 / 10 = 168 / 2

Multiply 168/2 by 3 on both numerator and denominator,

(168 × 3) / ( 2 × 3) = 504 / 6

84 is a fraction.So we can write it as only in terms of improper fractions.

Answer: 84 = 840 / 10 = 168 / 2 = 504 / 6