Write the following rational numbers in ascending order:
(i) −3/5,−2/5,−1/5
(ii) −1/3,−2/9,−4/3
(iii) −3/7,−3/2,−3/4

Solution:

To solve this question we will take the L.C.M of the denominator of the rational numbers or convert them into like fractions.

After converting them into like fractions, arrangement can easily be done by comparing the numerators.

(i) −3/5, −2/5, −1/5

Since denominator is same in all the rational numbers, these can be easily arranged into ascending order by comparing numerators i.e., −3 < −2 < −1

−3/5 < −2/5 < −1/5

(ii) −1/3, −2/9, −4/3

L.C.M of 3,9 and 3 is 9

Therefore,

−1/3 = (−1 × 3)/(3 × 3) = −3/9

−2/9 = (−2 × 1)/(9 × 1) = −2/9

−4/3 = (−4 × 3)/(3 × 3) = −12/9

Arranging them into ascending order we get,

−12/9 < −3/9 < −2/9

Or,

−4/3 < −1/3 < −2/9

(iii) −3/7, −3/2, −3/4

L.C.M of 7, 2 and 4 is 28

−3/7 = (−3 × 4)/(7 × 4) = −12/28

−3/2 = (−3 × 14)/(2 × 14) = −42/28

−3/4 = (−3 × 7)/(4 × 7) = −21/28

Arranging them into ascending order we get,

−42/28 < −21/28 < −12/28

Therefore,

−3/2 < −3/4 < −3/7

☛ Check: Class 7 Maths NCERT Solutions Chapter 9

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Video Solution:

Write the following rational numbers in ascending order: (i) −3/5,−2/5,−1/5 (ii) −1/3,−2/9,−4/3 (iii) −3/7,−3/2,−3/4

Class 7 Maths NCERT Solutions Chapter 9 Exercise 9.1 Question 10

Summary:

The following rational numbers (i) −3/5,−2/5,−1/5 (ii) −1/3,−2/9,−4/3 (iii) −3/7,−3/2,−3/4 in ascending order is written as follows: (i) −3/5 < −2/5 < −1/5 (ii) −4/3 < −1/3 < −2/9 (iii) −3/2 < −3/4 < −3/ 7

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