Make an equivalent fraction
Introduction : Multiplying the numerator and denominator of a fraction by the same (non-zero) number, the results of the new fraction is said to be equivalent to the original fraction. The word equivalent means that the two fractions have the same value. That is, they retain the same integrity - the same balance or proportion. (Source: Wikipedia)
Example problems - make an equivalent fraction:
Problem1:
Find the fractions equivalent to `4/7` .
Solution:
Here we have to convert `4/7` to an equivalent fraction,
Multiply the numerator and denominator by 2.
= `(4 * 2)/(7*2)`
=` 8/14`
So final result is: `4/7` can be written as the equivalent fraction `8/14` another equivalent fraction is `12/21` .
Problem2 make an equivalent fraction:
Find the fractions equivalent to `5/10` .
Solution:
Here we have to convert `5/10` to an equivalent fraction,
Multiply the numerator and denominator by 10.
= `(5 * 10)/ (10*10)`
= `50/100`
So final result is:` 5/10` can be written as the equivalent fraction `50/100` . Another equivalent fraction is `30/60` .
Problem3 make an equivalent fraction:
Find the fractions equivalent to `3/20`
Solution:
Here we have to convert `3/20 ` to an equivalent fraction,
Multiply the numerator and denominator by 3.
= `(3*3)/(20*3)`
= `9/60`
So final result is: `3/20` can be written as the equivalent fraction` 9/60` . Another equivalent fraction is `12/80` .
Problem4 make an equivalent fraction:
Find the fractions equivalent to `7/9` .
Solution:
Here we have to convert `7/9 ` to an equivalent fraction,
Multiply the numerator and denominator by 2.
= `(7*2)/(9*2)`
=` 14/18`
So final result is:` 7/9` can be written as the equivalent fraction `14/18` . Another equivalent fraction is `21/27` .
Problem5 make an equivalent fraction:
Find the fractions equivalent to` 7/12` .
Solution:
Here we have to convert `7/12` to an equivalent fraction,
Multiply the numerator and denominator by 3.
= `(7*3)/(12*3)`
=` 21/36`
So final result is: `7/12` can be written as the equivalent fraction `21/36` . Another equivalent fraction is `28/48` .
Practice problems - make an equivalent fraction:
Problem1: Find the fractions equivalent to `14/3` .
Answer: `28/6` .
Problem2: Find the fractions equivalent to `11/21` .
Answer: `22/42` .
Problem4: Find the fractions equivalent to `33/10` .
Answer: `330/100` .
Problem5: Find the fractions equivalent to `25/20` .
Answer: `75/60` .
Problem6: Find the fractions equivalent to `9/20` .
Answer: `90/200` .
These are the examples - make an equivalent fraction.
Example problems - make an equivalent fraction:
Problem1:
Find the fractions equivalent to `4/7` .
Solution:
Here we have to convert `4/7` to an equivalent fraction,
Multiply the numerator and denominator by 2.
= `(4 * 2)/(7*2)`
=` 8/14`
So final result is: `4/7` can be written as the equivalent fraction `8/14` another equivalent fraction is `12/21` .
Problem2 make an equivalent fraction:
Find the fractions equivalent to `5/10` .
Solution:
Here we have to convert `5/10` to an equivalent fraction,
Multiply the numerator and denominator by 10.
= `(5 * 10)/ (10*10)`
= `50/100`
So final result is:` 5/10` can be written as the equivalent fraction `50/100` . Another equivalent fraction is `30/60` .
Problem3 make an equivalent fraction:
Find the fractions equivalent to `3/20`
Solution:
Here we have to convert `3/20 ` to an equivalent fraction,
Multiply the numerator and denominator by 3.
= `(3*3)/(20*3)`
= `9/60`
So final result is: `3/20` can be written as the equivalent fraction` 9/60` . Another equivalent fraction is `12/80` .
Problem4 make an equivalent fraction:
Find the fractions equivalent to `7/9` .
Solution:
Here we have to convert `7/9 ` to an equivalent fraction,
Multiply the numerator and denominator by 2.
= `(7*2)/(9*2)`
=` 14/18`
So final result is:` 7/9` can be written as the equivalent fraction `14/18` . Another equivalent fraction is `21/27` .
Problem5 make an equivalent fraction:
Find the fractions equivalent to` 7/12` .
Solution:
Here we have to convert `7/12` to an equivalent fraction,
Multiply the numerator and denominator by 3.
= `(7*3)/(12*3)`
=` 21/36`
So final result is: `7/12` can be written as the equivalent fraction `21/36` . Another equivalent fraction is `28/48` .
Practice problems - make an equivalent fraction:
Problem1: Find the fractions equivalent to `14/3` .
Answer: `28/6` .
Problem2: Find the fractions equivalent to `11/21` .
Answer: `22/42` .
Problem4: Find the fractions equivalent to `33/10` .
Answer: `330/100` .
Problem5: Find the fractions equivalent to `25/20` .
Answer: `75/60` .
Problem6: Find the fractions equivalent to `9/20` .
Answer: `90/200` .
These are the examples - make an equivalent fraction.