The fractions are valid from the given options; A and D.
How to obtain real measurements from the ratio of two measurements?
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 have been given Martin can run 1 mile in 7 minutes.
The proportions that can be written from this information;
[tex]\dfrac{1}{7} = \dfrac{3}{21}[/tex]
[tex]\dfrac{7}{1} = \dfrac{21}{3}[/tex]
Therefore the fractions above are the correct answers.
Remember that the ratio should always be taken of quantities with same unit of measurement, ratio is a unitless(no units) quantity.
So, the fractions are valid from the given options; A StartFraction 1 over 7 EndFraction = StartFraction 3 over 21 EndFraction and D StartFraction 7 over 1 EndFraction = StartFraction 21 over 3 EndFraction.
Learn more about ratio here:
brainly.com/question/186659
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