Question

Whats 1.83333 in a fraction

Answer 1

`(11)/(6)`

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

`x=(1815)/(990)=(11)/(6)`

From equation (1),

`1.8333333....... = (11)/(6)`

Where, 21 and 6 are integers and 6 ≠ 0,

Answer 2

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.