Find six rational numbers between 4and5
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Step-by-step explanation:
\begin{gathered}To \:find \: six \: rational \: numbers \: between \\4 \:and \: 5 , then \: we \: write \:4 \:and \: 5 \\as\: rational \: number \: with \: denominator \: 6+1=7\end{gathered}Tofindsixrationalnumbersbetween4and5,thenwewrite4and5asrationalnumberwithdenominator6+1=7
\begin{gathered}i.e \: 4 = \frac{ 4\times 7}{7} =\frac{28}{7} \\and \: 5 = \frac{ 5\times 7}{7} = \frac{35}{7}\end{gathered}i.e4=74×7=728and5=75×7=735
4 = \frac{28}{7} < ( \frac{29}{7},\frac{30}{7},\frac{31}{7},\frac{32}{7},\frac{33}{7},\frac{34}{7}) < \frac{35}{7} = 54=728<(729,730,731,732,733,734)<735=5
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Answer:
29/7 , 30/7 , 31/7 , 32/7 , 33/7 , 34/7 , 35/7
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