Tuklasin kung paano ka matutulungan ng IDNStudy.com na makuha ang mga sagot na kailangan mo. Magtanong ng anumang bagay at makatanggap ng kumpleto at eksaktong sagot mula sa aming komunidad ng mga propesyonal.
Sagot :
Given:-
- Rational Numbers: 1/5 & 1/8
⠀⠀⠀⠀
To Find:-
- Any Four Rational Numbers
⠀⠀⠀⠀
Solution:-
⠀⠀
According to the Question, We have to find the LCM of Given Value.
⠀⠀⠀⠀
[tex]\begin{gathered}\begin{gathered}\begin{gathered}\:\:\:\:\:\:\:\:\:\:\:\begin{gathered} \begin{array}{c|c} \underline{\sf{2}}& {\sf{ \underline{ \: \: 5 \: , \: 8 \: \: } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ \underline{\sf{2}}&{\sf{ \underline{\: \: 5 \: ,\: 4 \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{2}}&{\sf{ \underline{ \: \: 5 \: , \: 2\: \: \: \: } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ {\underline{\sf{5}}} & {\underline{\sf{ \: \: 5 \:, \: \: 1\: \: }}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ {\underline{ \sf{}}}& \sf{ \: \: 1 \: , \: 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }\end{array}\end{gathered}\end{gathered}\end{gathered}\end{gathered}[/tex]
⠀⠀⠀⠀
Hence, The LCM of 5 & 8 is [tex]\sf{\red{2\times 2 \times2\times 5 = 40}}[/tex]
⠀⠀⠀⠀
Now, We have to make the denominators = 40 by multiplying the given values
⠀⠀⠀⠀
[tex]\begin{gathered}:\implies\sf\dfrac{1}{5} \times \dfrac{8}{8} = \dfrac{8}{40}\\\\\end{gathered}[/tex]
[tex]:\implies\sf\dfrac{1}{8} \times \dfrac{5}{5} = \dfrac{5}{40}[/tex]
⠀⠀⠀⠀
For 4 Rational Numbers, We will again multiply the rational Numbers to another one.So,
⠀⠀⠀⠀
[tex]\begin{gathered}:\implies\sf\dfrac{5}{40} \times \dfrac{2}{2} = \dfrac{10}{80}\\\\\end{gathered}[/tex]
[tex]:\implies\sf\dfrac{8}{40} \times \dfrac{2}{2} = \dfrac{16}{80}[/tex]
⠀⠀
The four rational Numbers between:
[tex]\sf\dfrac{1}{5} \: \sf and \: \: \dfrac{1}{8} \: are : \dfrac{11}{80}, \: \dfrac{12}{80}, \: \dfrac{13}{80}, \: \dfrac{14}{80}[/tex]
⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀__________________
Ang iyong kontribusyon ay napakahalaga sa amin. Magpatuloy sa pagtatanong at pagbabahagi ng iyong nalalaman. Sama-sama tayong magtatagumpay sa ating layunin. Salamat sa pagbisita sa IDNStudy.com. Nandito kami upang magbigay ng malinaw at tumpak na mga sagot.