Equivalent Fractions Examples, deals with various concepts which are as under:-
- Find Equivalent Fraction With Given Numerator
- Find Equivalent Fraction With Given Denominator
Two or more Fractions are said to be Equivalent Fractions If they represent the same amount or same Fraction.
To get a fraction equivalent to a given fraction, we multiply or divide the numerator and the denominator of the given fraction by the same number (except 0 or 1)
Equivalent Fractions Examples
Equivalent Fractions Examples – Example 1
Find the four fractions equivalent to 3/2 ?
Solution
To get a fraction equivalent to a given fraction, we multiply or divide the numerator and the denominator of the given fraction by the same number (except 0 or 1)
Equivalent Fractions Examples – Example 2
Find the four fractions equivalent to 4/3 ?
Solution
To get a fraction equivalent to a given fraction, we multiply or divide the numerator and the denominator of the given fraction by the same number (except 0 or 1)
Equivalent Fraction With Given Numerator and Denominator
Find Equivalent Fraction With Given Numerator
Equivalent Fractions Examples – Example 3
Write an Equivalent Fraction of 3/5 with Numerator 15 .
Solution
Let,
In order to obtain an equivalent fraction, we need to multiply the Numerator and Denominator of a given number , by same digit
To get 15 as Numerator, we have to multiply 3 by 5
In order to get an Equivalent Fraction, we have to multiply the Denominator by the same number, i.e, 5
i.e,
Hence, 15/25 is an Equivalent Fraction of 3/5 with Numerator 15 .
Equivalent Fractions Examples – Example 4
Write an Equivalent Fraction of 7/9 with Numerator 21 .
Solution
Let,
In order to obtain an Equivalent fraction, we need to multiply the Numerator and Denominator of a given number , by same digit
To get 21 as Numerator, we have to multiply 7 by 3
In order to get an Equivalent Fraction, we have to multiply the Denominator by the same number, i.e, 3
i.e,
Hence, 21/27 is an Equivalent Fraction of 7/9 with Numerator 21.
Find Equivalent Fraction With Given Denominator
Equivalent Fractions Examples – Example 5
Write an Equivalent Fraction of 20/24 with Denominator 6.
Solution
Let,
In order to obtain an Equivalent fraction, we need to divide the Numerator and Denominator of a given number , by same digit
To get 6 in the Denominator, we need to divide 24 by 4
So, in order to get an Equivalent Fraction, we have to divide the Numerator also by 4
i.e,
Hence, 5/6 is an Equivalent Fraction of 20/24 with Denominator 6
Equivalent Fractions Examples – Example 6
Write an Equivalent Fraction of 15/12 with Denominator 4 .
Solution
Let,
In order to obtain an Equivalent fraction, we need to divide the Numerator and Denominator of a given number , by same digit
To get 4 in the Denominator, we need to divide 12 by 3
So, in order to get an Equivalent Fraction, we have to divide the Numerator also by 3
i.e,
Hence, 5/4 is an Equivalent Fraction of 15/12 with Denominator 4