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Step-by-step explanation:

There are 2 repeating digits in .64(with a line over both of those numbers). The value to multiply on to both sides will be 100. To find the fraction that represents the repeating decimal, there are steps to follow. First, make sure the decimal is just before the repeating decimals. It is, so we are good there. Next, move the decimal over how ever many places to get it right after the repeating numbers. That means moving the decimal 2 places to the right. That's the same as multiplying by 100:

100x = 64.6464

What we have now is a system with the equation above and

x = .6464

We subtract them:

100x = 64.6464

-     x =     .6464

to get

99x = 64. Solving for x:

x = 64/99

That's how you change a repeating decimal to a fraction.

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step-by-step explanation: