Question

Q-8. Find five rational numbers equivalent to each of the
following rational numbers:
a. 3/5
b.-6/11
c. 7/-10
d. 8/15​

Answer 1

Answer:

Answer:

a. 6/10,9/15,12/20,15/25

b. -12/22,-18/33,-24/44,-30/55

c. 14/-20,21/-30,28/-40,35/-50

d. 16/30,24/45,32/60,40/75

Answer 2

Step-by-step explanation:

Given :-

a. 3/5

b.-6/11

c. 7/-10

d. 8/15

To find:-

Find five rational numbers equivalent to each of the following rational numbers:

a. 3/5

b.-6/11

c. 7/-10

d. 8/15

Solution:-

Fractions obtained by multiplying the numerator and the denominator with 1,2,3,... are called Equivalent fractions .

a) Given fraction = 3/5

Equivalent fractions are :

(3/5)×(2/2)=(3×2)/(5×2)=6/10

(3/5)×(3/3)=(3×3)/(5×3)=9/15

(3/5)×(4/4)=(3×4)/(5×4)=12/15

(3/5)×(5/5)=(3×5)/(5×5)=15/25

(3/5)×(6/6)=(3×6)/(5×6)=18/30

Equivalent fractions are 6/10; 9/15; 12/15; 15/25;

18/30

b) Given fraction is -6/11

Equivalent fractions are :

(-6/11)×(2/2)=(-6×2)/(11×2)= -12/22

(-6/11)×(3/3)=(-6×3)/(11×3)= -18/33

(-6/11)×(4/4)=(-6×4)/(11×4)= -24/44

(-6/11)×(5/5)=(-6×5)/(11×5)= -30/55

(-6/11)×(6/6)=(-6×6)/(11×6)= -36/66

Equivalent fractions are -12/22; -18/33; -24/44;

-30/55 ; -36/66

c)a) Given fraction = 7/-10=-7/10

Equivalent fractions are :

(-7/10)×(2/2)=(-7×2)/(10×2)=-14/20

(-7/10)×(3/3)=(-7×3)/(10×3)= -21/30

(-7/10)×(4/4)=(-7×4)/(10×4)= -28/40

(-7/10)×(5/5)=(-7×5)/(10×5)= -35/50

(-7/10)×(6/6)=(-7×6)/(10×6)= -42/60

Equivalent fractions are -14/20; -21/30; -28/40;

-35/50 ; -42/60

d)a) Given fraction = 8/15

Equivalent fractions are :

(8/15)×(2/2)=(8×2)/(15×2)= 16/30

(8/15)×(3/3)=(8×3)/(15×3)= 24/45

(8/15)×(4/4)=(8×4)/(15×4)= 32/60

(8/15)×(5/5)=(8×5)/(15×5)= 40/75

(8/15)×(6/6)=(8×6)/(15×6)= 48/90

Equivalent fractions are 16/30; 24/45; 32/60;

40/75; 48/90

Answer:-

a)Equivalent fractions are 6/10; 9/15; 12/15; 15/25;

18/30

b)Equivalent fractions are -12/22; -18/33; -24/44;

-30/55 ; -36/66

c)Equivalent fractions are -14/20; -21/30; -28/40;

-35/50 ; -42/60

d)Equivalent fractions are 16/30; 24/45; 32/60;

40/75; 48/90

Used formulae:-

Equivalent fractions:-

• Fractions obtained by multiplying the numerator and the denominator with 1,2,3,... are called Equivalent fractions .

• Equivalent fractions of a fraction have different numerator and the different denominator but thier values are same