find three rational number between 3/5and 3/4
Answers
Answer:
Question:−
Find three rational numbers between 3/5 and 3/4 at equal intervals.
\sf{\underline{\underline{Given:-}}}
Given:−
\sf \frac{3}{5} \: and\: \frac{3}{4}
5
3
and
4
3
\sf{\underline{\underline{To\:Find:-}}}
ToFind:−
Three rational between \sf \frac{3}{5} \: and\: \frac{3}{4}
5
3
and
4
3
\sf{\underline{\underline{Solution:-}}}
Solution:−
Taking L.C.M of 5 & 4 = 20
\begin{gathered}\sf→ \frac{3}{5}\:and\:\frac{3}{4}\\\sf→ \frac{12+15}{20}\\\sf→ \frac{27}{20} ----1st number \end{gathered}
→
5
3
and
4
3
→
20
12+15
→
20
27
−−−−1stnumber
\begin{gathered}\sf→ \frac{3}{4}\:and\:\frac{27}{20}\\\sf→ \frac{15+27}{20}\\\sf→\frac{42}{20}\\\sf→ \frac{21}{10}---2nd \: number\end{gathered}
→
4
3
and
20
27
→
20
15+27
→
20
42
→
10
21
−−−2ndnumber
\begin{gathered}\sf→\frac{21}{10}+\frac{27}{20}\\\sf→\frac{42+27}{20}\\\sf→ \frac{79}{20}\\\sf→ \frac{79}{20}----3rd number \end{gathered}
→
10
21
+
20
27
→
20
42+27
→
20
79
→
20
79
−−−−3rdnumber
3/5*4/4=12)20*2/2=24/40
3/4*5/5=15/20*2/2=30/40
24/40,25/40,26/40,27/40,28/40,29/40,30/40