Answer:
Yes, her reasoning is correct
Step-by-step explanation:
Given the ratio: 109.2 : 6
Written in fractional form, we have:
[tex]109.2: 6=\dfrac{109.2}{6}[/tex]
Now:
[tex]\dfrac{109.2}{6}=\dfrac{109.2}{6}X1, $ Let 1=\dfrac{10}{10}, \\\\=\dfrac{109.2}{6}X\dfrac{10}{10}\\\\=\dfrac{1092}{60}[/tex]
Therefore, the student's reasoning is correct. In fact, as a check:
[tex]\dfrac{109.2}{6}=18.2\\\\\dfrac{1092}{60}=18.2[/tex]
We would obtain the same result in both cases.
