The ratios are equivalent to 8 : 12 are A 4 : 6 , D 24 : 36 and E 56 : 84.
Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
What is the ratio of two quantities?
Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b
We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).
Suppose that we've got a = 8, and b= 12,
[tex]a:b = 8 : 12\\\\ = \dfrac{8}{12} = \dfrac{2 \times 4}{2 \times 6} \\= \dfrac{2}{3} \\\\a : b = 2 : 3[/tex]
So, the ratios are equivalent to 8 : 12
A 4 : 6
D 24 : 36
E 56 : 84
Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.
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