Which rational number is equivalent to 3.90 with the .90 repeating?
A. 3/90
B. 39/10
C. 35/9
D. 43/11
EXPLAIN PLZ
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OOPS I DIDN"T SEE IT THANKS
To find the equivalent rational number to 3.90 with the .90 repeating, we can convert the repeating decimal to a fraction.
Let x be the decimal number 3.90.
Set up the equation: x = 3.909090...
To find the value of x, we can subtract the repeating part from the whole number part:
10x = 39.909090...
Subtracting the original equation from this new equation eliminates the repeating part:
(10x - x) = (39.909090...) - (3.909090...)
9x = 36
Dividing both sides of the equation by 9, we find:
x = 4
Therefore, the rational number equivalent to 3.90 with the .90 repeating is 4. It is not one of the choices listed in the options (A, B, C, or D).
The correct answer is not among the given options.