Question

Write five equivalent rational number for the following

1)-6/5

2)-8/10

plzz tell me answeerr​

Answer 1

`(1)\ -(6)/(5)`

Equivalents: -12/10, -18/15, -24/20, - 30/25, -36/30

`(2)\ -(8)/(10)`

Equivalents: -4/5, 16/20, -24/30, -32/40, -80/100

Explanation:

Given

`(1)\ -(6)/(5)`

`(2)\ -(8)/(10)`

Required

5 equivalent numbers for each

To do this, we carry out the same operation on the numerator and the denominator of the fraction

`(1)\ -(6)/(5)`

Multiply by 2/2

`-(6)/(5) * (2)/(2) = -(12)/(10)`

by 3/3

`-(6)/(5) * (3)/(3) = -(18)/(15)`

by 4/4

`-(6)/(5) * (4)/(4) = -(24)/(20)`

by 5/5

`-(6)/(5) * (5)/(5) = -(30)/(25)`

by 6/6

`-(6)/(5) * (6)/(6) = -(36)/(30)`

`(2)\ -(8)/(10)`

Divide by 2/2

`-(8)/(10)= -(8/2)/(10/2)`

`-(8)/(10)= -(4)/(5)`

Multiply by 2/2

`-(8)/(10) =-(8*2)/(10*2)`

`-(8)/(10)= -(16)/(20)`

Multiply by 3/3

`-(8)/(10)= -(8*3)/(10*3)`

`-(8)/(10) =-(24)/(30)`

Multiply by 4/4

`-(8)/(10) = -(8*4)/(10*4)`

`-(8)/(10)= -(32)/(40)`

Multiply by 10/10

`-(8)/(10)= -(8)/(10) * (10)/(10)`

`-(8)/(10)= -(80)/(100)`