Arrange the following rational numbers in ascending order 2/-3,4/7,-1/6
Answers
Answer:
We shall represent the given numbers with positive denominators.
−12
5
And
−24
9
By multiplying both numerator and denominator by −1 we get,
−12
5
=
−12×−1
5×−1
=
12
−5
and
−24
9
=
−24×−1
9×−1
=
24
−9
Now let's take the LCM of 4,12,16,24 i.e. 48
By multiplying both numerator and denominator by 12 we get,
4
−3
=
4×12
−3×12
=
48
−36
By multiplying both numerator and denominator by 4 we get,
12
−5
=
12×4
−5×4
=
48
−20
By multiplying both numerator and denominator by 3 we get
16
−7
=
16×3
−7×3
=
48
−21
By multiplying both numerator and denominator by 2 we get,
24
−9
=
24×2
−9×2
=
48
−18
Clearly by comparing the numerators i.e. −36<−21<−20<−18
∴
48
−36
<
48
−21
<
48
−20
<
48
−18
i.e.
4
−3
<
16
−7
<
−12
5
<
−24
9
.
Step-by-step explanation:
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