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7.Find ten rational numbers between \(\frac { 3 }{ 5 }\) and \(\frac { 3 }{ 4 }\).
Answer :

We have rational numbers as: \(\frac{3}5\) and\(\frac{3}4\)

Making the denominator same for both the rational numbers:

\(\frac{3}5=\frac{3×20}{5×20}=\frac{60}{100}\) and \(\frac{3}4=\frac{3×25}{4×25}=\frac{75}{100}\)

So now we have to see ten rational number between \(\frac{60}{100}\) and \(\frac{75}{100}\)

So, these can be, \(\frac{61}{100},\frac{62}{100},\frac{63}{100},\frac{64}{100},\frac{65}{100},\frac{66}{100},\frac{67}{100},\frac{68}{100},\frac{69}{100},\frac{70}{100}\)