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[tex]4 \frac{1}{2} = \frac{8 + 1}{2} = \frac{9}{2} = \frac{18}{4} \\ [/tex]
And ,
[tex]4 \frac{3}{4} = \frac{16 + 3}{4} = \frac{19}{4} \\ [/tex]
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[tex]( \frac{18}{4} + \frac{19}{4} ) \div 2 = \\ [/tex]
[tex]( \frac{18 + 19}{4} ) \div 2 = \\ [/tex]
[tex]( \frac{37}{4} ) \div 2 = \\ [/tex]
[tex] \frac{37}{4} \times \frac{1}{2} = \\ [/tex]
[tex] \frac{37}{8} \\ [/tex]
Done...
Thus 37 / 8 is between those fractions.
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