Answer:
Solution:
Let x the number added to one-half and its reciprocal is 1/x
Then,
1/2 + 1/x = 19/6
1/x = 19/6 - 1/2
[tex]\frac{1}{x} = \frac{1(19) - 1(3)}{6}[/tex]
[tex]\frac{1}{x} = \frac{19- 3}{6}[/tex]
[tex]\frac{1}{x} = \frac{16}{6}[/tex]
1(6) = x(16) Multiplication Property of Equality (MPE)
6 = 16x or we can interchange the position.
16x = 6
16x/16 = 6/16 (Divide both sides by 16)
x = 6/16 ( Reduce to lowest term and dividing both by 2)
x = 3/8
Therefore the value of x = 3/8
Checking:
Since the reciprocal of 3/8 = 8/3,then
1/2 + 8/3 = 3(1) + 2(8)/6
= 3 + 16/6
= 19/6
I hope guys this will help you.
Thank you!
Step-by-step explanation:
