How to work out what is the larger 7/8 - 8/9

Mathematics

2 answers:

seraphim [82]3 years ago

8 0

8/9 is the larger. 8/9 - 7/8 = 64 /72 - 63/72 = 1/72.

pishuonlain [190]3 years ago

3 0

[ $\frac{7}{8}=\frac{7\cdot9}{8\cdot9}=\frac{63}{72}\\\\\frac{8}{9}=\frac{8\cdot8}{9\cdot8}=\frac{64}{72}\\\\\frac{63}{72} < \frac{64}{72}\to\frac{7}{8} < \frac{8}{9}$

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