Premium Online Home Tutors
3 Tutor System
Starting just at 265/hour
Answer :
(i) We have rational numbers as: \(\frac{2}3\) and\(\frac{4}5\)
Making the denominator same for both the rational numbers:
\(\frac{2}3=\frac{2}3×\frac{20}{20}=\frac{40}{60}\) and \(\frac{4}5=\frac{4×12}{5×12}=\frac{48}{60}\)
So now we have to see five rational number between \(\frac{40}{60}\) and \(\frac{48}{60}\)
These can be, \(\frac{41}{60},\frac{42}{60},\frac{43}{60},\frac{44}{60},\frac{46}{60}\)
(ii) We have rational numbers as: \(\frac{-3}2\) and\(\frac{5}3\)
Making the denominator same for both the rational numbers:
\(\frac{-3}2=\frac{-3×3}{2×3}=\frac{-9}{6}\) and \(\frac{5}3=\frac{5×2}{3×2}=\frac{10}{6}\)
So now we have to see five rational number between \(\frac{-9}{6}\) and \(\frac{10}{6}\)
These can be, \(\frac{-8}{6},\frac{-7}{6},\frac{-6}{6},\frac{3}{6},\frac{4}{6}\)
(iii) We have rational numbers as: \(\frac{1}4\) and\(\frac{1}2\)
Making the denominator same for both the rational numbers:
\(\frac{1}4=\frac{1×8}{2×8}=\frac{8}{32}\) and \(\frac{1}2=\frac{1×16}{2×16}=\frac{16}{32}\)
So now we have to see five rational number between \(\frac{8}{32}\) and \(\frac{16}{32}\)
These can be, \(\frac{9}{32},\frac{10}{32},\frac{11}{32},\frac{12}{32},\frac{13}{32}\)