★ Which is greater?
[tex]\frac{3}{4}[/tex] OR [tex]\frac{11}{16}[/tex]
The first thing you need to do is check if the denominators are the same. The denominator is the number on the bottom. The denominators are:
[tex]4[/tex] and [tex]16[/tex]
Since they are not the same, change them so that they have a common denominators. To do that, list the first few multiples of both numbers to find the GCM.
[tex]4-4, 8, 12, 16, 20, 24, 28, 32 \\ 16-16,32,48,64, 80, 96[/tex]
The 2 common multiples of 4 and 16 are:
[tex]16[/tex] and [tex]32[/tex]
Since 16 is less than 32, the new denominator of the 2 fractions should be 16. Change the fractions so that they have a denominator of 16.
[tex]\frac{3 \times 4}{4 \times 4} = \frac{12}{16}[/tex]
[tex]\frac{11 \times 1}{16 \times 1} = \frac{11}{16}[/tex]
Which is greater?
[tex]\frac{12}{16}[/tex] OR [tex]\frac{11}{16}[/tex]
Since 12 is greater than 11, [tex]\frac{11}{12} \rightarrow \frac{3}{4}[/tex] is greater.
ANSWER: [tex]\frac{3}{4}[/tex]
