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# Find five rational numbers between $\frac{1}{4}$and $\frac{1}{2}$

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## To find rational numbers between given numbers a and b-a+d, a+2d, a+3d, a+4d, a+5d where, $\mathrm{d}=\frac{\mathrm{b}-\mathrm{a}}{\mathrm{n}+1}$Step 1Find d- $\mathrm{d}=\frac{\frac{1}{2}-\frac{1}{4}}{5+1}$ $\mathrm{d}=\frac{\frac{2-2}{4}}{6}\phantom{\rule{0ex}{0ex}}=\frac{\frac{1}{4}}{6}\phantom{\rule{0ex}{0ex}}=\frac{1}{24}$Step 2Required terms- a+d, a+2d, a+3d, a+4d, a+5d $\frac{1}{4}+\frac{1}{24},\frac{1}{4}+\frac{2}{24},\frac{1}{4}+\frac{3}{24},\frac{1}{4}+\frac{4}{24},\frac{1}{4}+\frac{5}{24}\phantom{\rule{0ex}{0ex}}\frac{6+1}{24},\frac{6+2}{24},\frac{6+3}{24},\frac{6+4}{24},\frac{6+5}{24}\phantom{\rule{0ex}{0ex}}\frac{7}{24},\frac{8}{24},\frac{9}{24},\frac{10}{24},\frac{11}{24}$ Hence, Five rational numbers between $\frac{1}{4}$and $\frac{1}{2}$ are $\frac{7}{24},\frac{8}{24},\frac{9}{24},\frac{10}{24},\frac{11}{24}$  Suggest Corrections  1      Similar questions  Explore more