Like equivalent fractions (link) equivalent ratios are made by multiplying & dividing the ratio by the same number
Equivalent ratio of 2 : 1
2 : 1 = 2/1
So, equivalent ratios are
2/1 × 2/2 = 4/2 = 4 : 2
2/1 × 3/3 = 6/3 = 6 : 3
2/1 × 4/4 = 8/4 = 8 : 4
Equivalent ratios
Like equivalent fractions, equivalent ratios are made by multiplying & dividing the ratio by the same number
Let’s take an example
Equivalent ratio of 2 : 1
2 : 1 = 2/1
So, equivalent ratios are
2/1 × 2/2 = 4/2 = 4 : 2
2/1 × 3/3 = 6/3 = 6 : 3
2/1 × 4/4 = 8/4 = 8 : 4
So,
2 : 1 = 4 : 2 = 6 : 3 = 8 : 4