To write 0.46 repeating as a fraction in simplest form, use the concept of infinite geometric series. Multiply both sides of the equation by 100, subtract the original equation from the resulting equation, and solve for x. Finally, divide the resulting equation by 99 to find the fraction in simplest form.To write 0.46 repeating as a fraction in simplest form, we can use the concept of infinite geometric series. Let x = 0.46 repeating. Multiplying both sides of this equation by 100 gives us 100x = 46.46 repeating. Now, subtracting the original equation from the second equation eliminates the repeating part, and we get 100x - x = 46.46 repeating - 0.46 repeating. Simplifying, we have 99x = 46. Now, dividing both sides by 99 gives us x = 46/99. Therefore, 0.46 repeating as a fraction in simplest form is 46/99.Learn more about Converting repeating decimals to fractions...

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