find five rational numbers between -3/2 and 5/3
Answers
Step-by-step explanation:
find five rational numbers between -3/2 and 5/3Converting the given rational numbers with the same denominators
2
−3
=
2×3
−3×3
=
6
−9
and
3
5
=
3×2
5×2
=
6
10
We know that −9<−8<−7<−6<…<0<1<2<8<9<10
⇒
6
−9
<
6
−8
<
6
−7
<
6
−6
<…<
6
0
<
6
1
<
6
2
<…<
6
8
<
6
9
<
6
10
.
Thus, we have the following five rational numbers between
2
−3
and
3
5
⇒
6
−8
,
6
−7
,
6
0
,
6
1
and
6
2
Find five rational numbers between 3/5 and 4/5
Solution:
We need to find 5 rational numbers between
3/5 and 4/5. Let us use 6 as a multiplier.
We will multiply and divide the numerator and
denominator of 3/5 and 4/5 by 6.
3/5 = (3 × 6) ÷ (5 × 6) = 18/30
4/5 = (4 × 6) ÷ (5 × 6) = 24/30
Here, 18/30 and 24/30 are equivalent fractions to
3/5 and 4/5 respectively.
Thus, 5 rational numbers between 3/5 and 4/5
are 19/30, 20/30, 21/30, 22/30 and 23/30.