Question

the sum of three rational number is-6/5. If two of the number are 3/10 and - 9/15 find the third number

Answer 1

Step-by-step explanation:

Let the third number be X.

We have given two numbers i.e.

3/10 and -9/15

ATQ,

Sum of all three rational numbers are -6/5

3/10+(-9/15)+X=-6/5

3/10-9/15+X=-6/5

X=-6/5-3/10+9/15

X=(-36-9+18)/30

X=(-45+18)/30

X=-27/30

X=-9/10

-9/10 is the required number.

Answer 2

Answer:

let take the third number as X

so, 3by10 + (-9by15) + X = -6by5

3 by 10 - 9 by 15 + X = - 6by5

now find the LCM of the denominator 10 nd 15= 30

so, 9-18 by 30

-9by 30 + X = -6 by 5

we will take the X on another side...

-9by30 + 6by5 =X

9by30-6by5

find the LCM of 30 nd 5 = 30

-27 by 30

so, our third number is-27 by 30