Express 12.46 inthe form of p/q
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0
Answer:
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Answered by
1
Step-by-step explanation:
First, create an equation that represents the repeating decimal that you want to convert to a fraction
x = 12.4646.... (1)
There are 2 repeating decimals, multiply both sides of the equation by 102 = 100 so that both equations have the same repeating digits to the right of the decimal point
100x = 1246.4646... (2)
Subtract the equation (1) from equation (2)
100x
x =
= 1246.4646...
12.4646...
99x = 1234
Solve for the x in the equation to determine the equivalent fraction.
x =
1234
99
Therefore, 1234/99 is simplified fraction of 12.46 repeating. Since this is an improper fraction, converted to mixed number is:
1234
99
= 12
46
99
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