Equivalent Ratios
In order to find Equivalent Ratios of any given ratio, we multiply or divide the numerator and denominator of the ratio by the same non zero number. We would explain this concept with the help of certain Equivalent Ratios Examples
Equivalent Ratios Examples
Equivalent Ratios Example 1:
Find the Equivalent ratio of 2 : 5?
9/15, 5/2, 8/20, 6/15
Explanation:
On multiplying or dividing each term of a ratio by the same non zero number, we get a ratio equivalent to the given ratio
For, 8/20
Both numerator and denominator of given fraction is multiplied by same nonzero number i.e 4
8/20 is an equivalent ratio of 2/5
9/15 is not an equivalent ratio of 2/5. As both 2 and 5 are not multiply by same non zero number
5/2 is not an equivalent ratio of 2/5. As both 2 and 5 are not multiply by same non zero number
6/15 is not an equivalent ratio of 2/5 As both 2 and 5 are not multiply by same non zero number
Equivalent Ratios Example 2:
Find the Equivalent ratio of 4 : 3?
21/9, 20/15, 3/4, 20/9
Explanation:
On multiplying or dividing each term of a ratio by the same non zero number, we get a ratio equivalent to the given ratio
For, 20/15
Both numerator and denominator of given fraction is multiplied by same nonzero number i.e 5
20/15 is an equivalent ratio of 4/3
3/4 is not an equivalent ratio of 4/3. As both 4 and 3 are not multiply by same non zero number
21/9 is not an equivalent ratio of 4/3. As both 4 and 3 are not multiply by same non zero number
20/9 is not an equivalent ratio of 4/3. As both 4 and 3 are not multiply by same non zero number
Equivalent Ratios Example 3:
Find the Equivalent ratio of 2 : 3?
8/9, 3/2, 8/12, 4/9
Explanation:
On multiplying or dividing each term of a ratio by the same non zero number, we get a ratio equivalent to the given ratio
For, 8/12
Both numerator and denominator of given fraction is multiplied by same nonzero number i.e 4
8/12 is an equivalent ratio of 2/3
3/2 is not an equivalent ratio of 2/3. As both 2 and 3 are not multiply by same non zero number
8/9 is not an equivalent ratio of 2/3. As both 2 and 3 are not multiply by same non zero number
4/9 is not an equivalent ratio of 2/3. As both 2 and 3 are not multiply by same non zero number
Equivalent Ratios Example 4:
Find the Equivalent ratio of 5 : 4?
21/12, 4/5, 20/16, 18/12
Explanation:
On multiplying or dividing each term of a ratio by the same non zero number, we get a ratio equivalent to the given ratio
For, 20/16
Both numerator and denominator of given fraction is multiplied by same nonzero number i.e 4
20/16 is an equivalent ratio of 5/4
4/5 is not an equivalent ratio of 5/4. As both 5 and 4 are not multiply by same non zero number
21/12 is not an equivalent ratio of 5/4. As both 5 and 4 are not multiply by same non zero number
18/12 is not an equivalent ratio of 5/4. As both 5 and 4 are not multiply by same non zero number
Equivalent Ratios Example 5:
Find the Equivalent ratio of 5 : 6?
11/18 , 6/5, 15/24, 10/12
Explanation:
On multiplying or dividing each term of a ratio by the same non zero number, we get a ratio equivalent to the given ratio
For, 10/12
Both numerator and denominator of given fraction is multiplied by same nonzero number i.e 2
10/12 is an equivalent ratio of 5/6
6/5 is not an equivalent ratio of 5/6. As both 5 and 6 are not multiply by same non zero number
11/18 is not an equivalent ratio of 5/6. As both 5 and 6 are not multiply by same non zero number
15/24 is not an equivalent ratio of 5/6. As both 5 and 6 are not multiply by same non zero number