Math, asked by abigail215, 7 hours ago

Find five rational numbers between -3/2 and 5/3

Answers

Answered by nandakish2009
1

Answer:

−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

Step-by-step explanation:

Answered by madhubhushan19
1

Answer:

11/18, 28/45, 19/35, 29/45 and 59/90

Step-by-step explanation:

Make, denominator of each given rational number equal to 15 ex the LCM

3/5 = (3 × 3)/(5 × 3) = 9/15 and

2/3 = (2 × 5)/(3 ×5) = 10/15

Since, five rational numbers are required, multiply the numerator and denominator of each rational number by 5 + 1 = 6

∴ 9/15 = 9 × 6/15 × 6 = 54/90 and

10/15 = 10 × 6/15 × 6 = 60/90

∴ Required rational numbers between 3/5 and 2/3 are = 55/90, 56/90, 57/90, 58/90, 59/90

= 11/18, 28/45, 19/35, 29/45 and 59/90

please mark my answer as brainliest

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