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what is greater, 2/3 or 7/8?

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[tex]\frac{2}{3} = \frac{2 \times 8}{3 \times 8}=\frac{16}{24} \\ \\ \frac{7}{8}=\frac{7 \times 3}{8 \times 3}=\frac{21}{24} \\ \\ 16<21 \Rightarrow \frac{16}{24} < \frac{21}{24} \Rightarrow \frac{2}{3}<\frac{7}{8}[/tex]

7/8 is greater.
7/8 is greater because the first step is to make all the fractions equivalent.
 [tex] \frac{21}{24} = \frac{7}{8} [/tex]
Now...
 [tex] \frac{16}{24} = \frac{2}{3} [/tex]

So 7/8 is greater than 2/3.
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