Question

1. The sum of two rational numbers is 5

6
. If one of the numbers is 7
36
,

find the other number.

Answer 1

So, the rational number is
`(52)/(12)` .

Explanation:

Let x be the other number.

We know ,

`(7)/(36)` + x =
`(5)/(6)`

To find x, we need to convert both to have a common denominator.

So, if we multiply
`(7)/(36)` by
`(10)/(36)` ,

`(10)/(1)` ×
`(7)/(36)` + x =
`(56)/(10)`

After multiplication the fraction
`(7)/(36)` becomes
`(70)/(360)` .

`(70)/(360)`+ x =
`(56)/(10)`

Now we have common denominator of 360in both fraction,

Now,

we can simplify the equation ,

`(70)/(360)` + x =
`(56)/(10)`

70 + 360x = 56 × 36

2520 + 360x = 2016

504 + 360x = 2016

360x = 1512

x =
`(1512)/(360)`

=
`(52)/(12)`

So, the rational number is
`(52)/(12)` .