Find three rational numbers between frac{1}{4 | vedclass

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Question

(B) To find rational numbers between $\frac{1}{4}$ and $\frac{1}{5}$,we first make their denominators equal.Find the Least Common Multiple $(LCM)$ of

Vedclass · Accepted Answer

$\frac{9}{40}, \frac{19}{80}, \frac{18}{80}$

Vedclass · Answer

(B) To find rational numbers between $\frac{1}{4}$ and $\frac{1}{5}$,we first make their denominators equal.Find the Least Common Multiple $(LCM)$ of $4$ and $5$,which is $20$.$\frac{1}{4} = \frac{1 	imes 5}{4 	imes 5} = \frac{5}{20}$$\frac{1}{5} = \frac{1 	imes 4}{5 	imes 4} = \frac{4}{20}$To find three rational numbers,we multiply the numerator and denominator by $(3+1) = 4$.$\frac{5}{20} = \frac{5 	imes 4}{20 	imes 4} = \frac{20}{80}$$\frac{4}{20} = \frac{4 	imes 4}{20 	imes 4} = \frac{16}{80}$The rational numbers between $\frac{16}{80}$ and $\frac{20}{80}$ are $\frac{17}{80}, \frac{18}{80}, \frac{19}{80}$.Thus,three rational numbers between $\frac{1}{4}$ and $\frac{1}{5}$ are $\frac{17}{80}, \frac{18}{80}, \frac{19}{80}$ (or $\frac{9}{40}$).

Find three rational numbers between $\frac{1}{4}$ and $\frac{1}{5}$.

Similar Questions

State whether the following statements are true or false. Give reasons for your answers.
$(i)$ Every natural number is a whole number.
$(ii)$ Every integer is a whole number.
$(iii)$ Every rational number is a whole number.

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