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

Rationalise the denominator of the following expression:
$\frac{30}{5 \sqrt{3}-3 \sqrt{5}}$

Simplify:
$\frac{9^{\frac{1}{3}} \times 27^{-\frac{1}{2}}}{3^{\frac{1}{6}} \times 3^{-\frac{2}{3}}}$

Find the value of the following expression correct to three decimal places,rationalizing the denominator if needed. Take $\sqrt{2} = 1.414$,$\sqrt{3} = 1.732$,and $\sqrt{5} = 2.236$.
$\frac{4}{3 \sqrt{3}-2 \sqrt{2}} + \frac{3}{3 \sqrt{3}+2 \sqrt{2}}$

Find three different irrational numbers between the rational numbers $\frac{3}{4}$ and $\frac{4}{5}$.

If $\frac{\sqrt{7}+\sqrt{5}}{\sqrt{7}-\sqrt{5}}=a+b \sqrt{35},$ find the value of $a$ and $b$.

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