Final answer:
The repeating decimal 0.64646464... can be written as a fraction in decimal form by following a step-by-step process.
Step-by-step explanation:
The repeating decimal 0.64646464... can be written as a fraction in decimal form. To do this, we can let x = 0.64646464..., then multiply both sides by 100 to shift the decimal point two places to the right, giving 100x = 64.64646464.... Next, subtracting the original equation from the shifted equation, we get 99x = 64. Subtracting those, we have 99x - x = 64 - 0.64646464..., which simplifies to 98x = 63.35353535.... Now, dividing both sides by 98, we get x = 63.35353535... / 98, which can be written as the fraction 63.35353535... / 98.
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