Find four rational number between 2/9 and 3/7 ?
Answers
Answer: 2/10 , 3/1 , 3/2 , 3/3
Step-by-step explanation:
First make a number line of rational numbers till 3/7
now have a look at 2/9 and count the digits between it.
Step-by-step explanation:
here's ur answer...
\begin{gathered}first \: of \: all \: we \: have \: to \: check \: whether \\ the \: denominator \: of \: both \: the \: fraction \\ is \: same \: or \: not. \: if \: it \: is \: not \: same \: then \\ we \: have \: to \: find \: the \: lcm \: of \: both \: the \: \\ denominators. \\ \\ here \: the \: denominators \: are \: not \: same \\ so \: we \: will \: find \: the \: lcm \: of \: both \: the \: \\ denominators. \\ \\ denominators \: are \: 9 \: and \: 7 \\ \\ there \: is \: no \: number \: which \: can \: be \: divided \\ \: by \: both \: this \: numbers \: so \: we \: will \\ multiply \: them \\ \\ lcm = 9 \times 7 = 63 \\ \\ \frac{2 \times 7}{9 \times 7} = \frac{14}{63} \\ \\ \frac{3 \times 9}{7 \times 9} = \frac{27}{63} \\ \\ hence \: four \: rational \: numbers \: between \: \\ them \: are \: \frac{15}{63} \: \: \frac{16}{63} \: \: \frac{17}{63} \: and \: \frac{18}{63} . \\ \\ hope \: this \: helps \: you...\end{gathered}
firstofallwehavetocheckwhether
thedenominatorofboththefraction
issameornot.ifitisnotsamethen
wehavetofindthelcmofboththe
denominators.
herethedenominatorsarenotsame
sowewillfindthelcmofboththe
denominators.
denominatorsare9and7
thereisnonumberwhichcanbedivided
byboththisnumberssowewill
multiplythem
lcm=9×7=63
9×7
2×7
=
63
14
7×9
3×9
=
63
27
hencefourrationalnumbersbetween
themare
63
15
63
16
63
17
and
63
18
.
hopethishelpsyou...