do the ratios 2 to 4 and 11 to 11/2 form a proportion?
2/4 = 1/2
11/(11/2) = 11* (2/11)= 2 = 2/1
Because 1/2 ≠ 2/1, the ratios 2 to 4 and 11 to 11/2 do not form a proportion~
Proportion is a method to compare the ratio of the two quantities of the same units. Using the proportion we can compare the part of a whole of a number with other part of the whole. The ratios given in the problem are not equal thus they do not form a proportion as to form a proportion the ratio of two number must be equal.
Proportion is a method to compare the ratio of the two quantities of the same units. Using the proportion we can compare the part of a whole of a number with other part of the whole.
The first ratio given in the problem let \(r_1\) is,
\(r_1=\dfrac{2}{4}\)
\(r_1=\dfrac{1}{2}\)
The second ratio given in the problem \(r_2\) is,
\(r_2=\dfrac{11}{\dfrac{11}{2} }\)
As the denominator of the denominator is the product of numerator. Thus,
\(r_2=\dfrac{11\times2}{{11} }\)
\(r_2=\dfrac{22}{{11} }\)
\(r_2=2\)
Compare both the ratio,
\(r_1 eq r_2\)
Thus, the ratios given in the problem do not form a proportion as to form a proportion the ratio of two number must be equal.
Learn more about the proportion here;
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