Respuesta :
Equation 1:
X= 0.27 re. (1)
Since we have 1 digits in our repeating decimal group, create a second equation by multiplying both sides 10 to the power of 1 = 10
Equation 2:
10X = 2.77 re. (2)
Subtracting equation (1) from (2)
10X = 2.77...
X = 2.77...
------------------
9X = 2.5
We get
9X = 2.5
Solving for X
X = 2.5/9
Multiplying by 1 to eliminate 1 decimal places we must multiply top and bottom by 1 10's = 10 to the first power = 10
2.5/9 times 10/10 = 25/90
Then simplify
25 divided by 5/90 divided by 5 = 5/18
In conclusion,
0.27 re. = 5/18
X= 0.27 re. (1)
Since we have 1 digits in our repeating decimal group, create a second equation by multiplying both sides 10 to the power of 1 = 10
Equation 2:
10X = 2.77 re. (2)
Subtracting equation (1) from (2)
10X = 2.77...
X = 2.77...
------------------
9X = 2.5
We get
9X = 2.5
Solving for X
X = 2.5/9
Multiplying by 1 to eliminate 1 decimal places we must multiply top and bottom by 1 10's = 10 to the first power = 10
2.5/9 times 10/10 = 25/90
Then simplify
25 divided by 5/90 divided by 5 = 5/18
In conclusion,
0.27 re. = 5/18
