Make Equivalent Fraction

Make Equivalent fraction article deals with the definition of equivalent fraction, method to make the equivalent fraction and the arithmetic operations with equivalent fraction.

Definition of equivalent fraction:

When the two fractions have the same value in their lowest terms, then the two fractions are said to be equivalent fraction.

The upper part and lower part of the fraction are multiply or divided by the common number



Condition for making equivalent fraction

Consider the fractions as `(v/n)` and `(d/s)`

Condition

`(v/n) = (d/s)`

Cross multiply the fraction terms

v (s) = d(n)

vs= dn (equal)

So `(v/n)` and `(d/s)` are equivalent fractions

If  vs is not equal to dn

So `(v/n)` and `(d/s)` are not equivalent

Steps to Make the Equivalent fraction:

For making Equivalent fraction:

Step1: find the common multiplier of the whole fraction.

Step 2: cancel the common multiplier of the fraction.

Step 3: make the fraction to its lower terms

Step 4: multiply the numerator and denominator by common number.

Model problems form making equivalent fraction:

1. Whether the fractions are equivalent fraction.

The fractions are `(3/5) ` and `(6/10)`

Solution:

`(3/5) = (6/10)`

Cross multiply the fraction terms

(5*6) = (10*3)

30 = 30

They are equal

Therefore, the above fractions are making equivalent fraction.

2. Whether the fractions are equivalent fraction

The fractions are `(1/4)` and `(6/4)`

Solution:

`(1/4) = (6/4)`

Cross multiply the fraction terms

(1*4) = (4*6)

4= 24.

They are not equal

Therefore, fractions are not making equivalent fraction.

Model problems for making the equivalent fraction:

make  the equivalent fraction sample

`(49/28)`

Solution:

Step1: find the common multiplier of the whole fraction.

`(49/28) = ((7*7)/ (4*7))`

Step 2: cancel the common multiplier of fraction

= `(7/4)`

Step 3: we cannot simplify the fraction to its lower terms

The equivalent fraction is `(7/4)`

2.Make  the equivalent fraction sample

`(90/30)`

Solution:

Step1: find the common multiplier of the whole fraction.

`(90/30) = ((9*10)/ (3*10))`

Step 2: cancel the common multiplier of fraction

= `(9/3)`

My forthcoming post is on Rules for Dividing Decimals and cbse study material for class 11 will give you more understanding about Algebra.

Step 3:  make the fraction to its lower terms

Divide the upper and lower part by 3

= `(3/1)`

The equivalent fraction `(3/1)`