Question

3:5, 12:20 . check wheather the given ratios are equivalent ??​

Answer 1

Answer:

yes,3:5::12:20

Step-by-step explanation:

use proportion to check whether it is equivalent or not. 3×20 - 60 and 5×12 - 60. both are same so they are equal.

Answer 2

Given,

Two ratios 3:5, 12:20

To Find,

If the two ratios are equivalent

Solution,

As we know, ''two or more ratios are equivalent if their simplified forms are the same''.

We will write the given ratios as fractions.

3:5 ⇒ 3/5

12:20 ⇒ 12/20

Now, we have to find the common factors that divide the numerator and denominator into equal numbers to get the simplified form of fractions.

3/5 = 3/5 (Already simplified form)

12/20 = 3/5 (HCF = 4)

Thus, we can conclude that both of the above fractions are equivalent since their simplified forms are the same.

Hence, the given ratios are equivalent to each other.