Question

Which of the following ratios is equivalent to 2:3?

Answer 1

The equivalent fractions are 4:6,6:9 etc.

Given: Given ratio is 2:3.

To find: We have to find the equivalent ratios.

Solution:

The given ratio is 2:3.

It can be expressed in terms of fraction as 2/3.

Here 2 is the numerator and 3 is the denominator.

If we multiple the numerator and denominator with the same term we will get the equivalent fractions.

Let multiply by 2 gives the fraction 4:6.

Multiplying by 3 gives the fraction 6:9.

Thus, the equivalent fractions are 4:6,6:9 etc.

Answer 2

Given:

Ratio = 2:3

To Find: Equivalent ratio

Calculation:

• 2:3 is equivalent to multiples of 2 divided by multiples of 3.
• multiples of 2 are all the numbers divided by 2 and multiples of 3 are all the numbers divided by 3.

So, by reducing the given options:

• 1:2 cannot be reduced further.
• 4:8 can be reduced to 2:4 and moreover to 1:2, because 2 is a common factor here.
• 4:6 can be reduced further to 2:3, as 2 is a common factor.
• 3:6 can be reduced further to 1:2, as 3 is a common factor.

Answer:

(c) 4:6 is equivalent to 2:3.

Your question is incomplete. You might be referring to the options below:

(a) 1:2

(b) 4:8

(c) 4:6

(d) 3:6