Respuesta :
Assuming this was a repeating decimal, the correct answer is 35/18=1 17/18.
Explanation:
Let x=1.8333.... Then 10x=18.333... and 100x=183.333....
Subtract 100x and 10x:
(100x=183.333...)-(10x=18.333...) gives us 90x=165.
Divide both sides by 90:
90x/90=165/90
x=165/90=35/18.
Explanation:
Let x=1.8333.... Then 10x=18.333... and 100x=183.333....
Subtract 100x and 10x:
(100x=183.333...)-(10x=18.333...) gives us 90x=165.
Divide both sides by 90:
90x/90=165/90
x=165/90=35/18.
Answer:
[tex]\frac{11}{6}[/tex]
Step-by-step explanation:
Let x = 1.8333333....... --------(1)
Multiply both sides by 100
We get,
100x = 183.333333....... -------(2),
Equation (2) - Equation (1),
100x - x = 183.333333....... - 1.8333333.......
99x = 181.5
Again multiply 10 on both sides,
990x = 1815
Divide both sides by 990
[tex]x=\frac{1815}{990}=\frac{11}{6}[/tex]
From equation (1),
[tex]1.8333333....... = \frac{11}{6}[/tex]
Where, 21 and 6 are integers and 6 ≠ 0,
