Answer: Less than sign
7/27 < 11/36
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Work Shown:
First assume the two fractions are equal
7/27 = 11/36
Let's cross multiply to get...
7*36 = 27*11
252 = 297
The last equation is false, so the original equation is false. We can fix things by replacing the equal sign with a less than sign (since 252 is less than 297), so we get this instead
7/27 < 11/36
7*36 < 27*11
252 < 297
Showing that 7/27 is smaller than 11/36. We can confirm this by converting everything to decimal form. Use a calculator.
7/27 = 0.259 approximately
11/36 = 0.306 approximately
We see that 7/27 has the smaller decimal representation.