Respuesta :
The decimal is a repeating decimal, and the actual fraction represented by 0.64⁻ is 64/99
The number of repeating digits
The decimal number is given as:
0.64⁻
There are two numbers after the decimal point
So, the number of repeating digits is 2
The value multiplied on both sides of the equals sign
In (a), we have the number of repeating digits to be 2.
So, the value multiplied on both sides is:
Value = 10²
Value = 100
Hence, the value multiplied on both sides of the equals sign is 100
The actual fraction
The number is the decimal points is 64.
And the value multiplied on both sides of the equals sign is 100.
So, the fraction is:
64/(100 - 1)
This gives
64/99
Hence, the actual fraction represented by 0.64⁻ is 64/99
Read more about repeating decimals at:
https://brainly.com/question/300210
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