Which are equivalent ratios to 3:4?
Check all that are true.

6:8

15:20

9:12

9:15

16:20

Answer:

6:8

15:20

9:12

How?

3:4*2=6:8

3:4*5=15:20

3:4*3=9:12

The equivalent ratio to the given to 3:4 are 6:8, 15:20 and 9:12

Suppose the  real measurements were "a" and "b"

Then their ratio will be formed as

[tex]\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}[/tex]

where  is a common factor (not 1)

This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator. Thus, a = px, b = qx

We are given the ratio as; 3:4

3: 4 x 2 = 6 : 8

3: 4 x 5 = 15 : 20

3: 4 x 3 = 9 : 12

Therefore, the equivalent ratio to the given to 3:4 are 6:8, 15:20 and 9:12

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