what fraction is between 3/4 and 7/8

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19-01-2015
Mathematics

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what fraction is between 3/4 and 7/8

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naǫ naǫ · Answer 1 · 2015-01-19T19:49:10+01:00

[tex]\hbox{between} \ \frac{3}{4}=\frac{3 \times 2}{4 \times 2}=\frac{6}{8} \ \hbox{and} \ \frac{7}{8} \\ \\ \frac{6}{8} < \frac{x}{8} < \frac{7}{8} \Rightarrow 6<x<7 \\ \\ \hbox{x can be 6.1, 6.2, 6.22, 6.34, etc.} \\ \hbox{so the fraction can be:} \\ \frac{6.1}{8}=\boxed{\frac{61}{80}} \\ \frac{6.2}{8}=\frac{62}{80}=\boxed{\frac{31}{40}} \\ \frac{6.22}{8}=\frac{622}{800}=\boxed{\frac{311}{400}} \\ \frac{6.34}{8}=\frac{634}{8}=\boxed{\frac{317}{400}} \\ \hbox{etc.}[/tex]