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Write the decimal −0.43 (the 3 is repeating) as a fraction in simplest form.

Write the decimal −0.43 (the 3 is repeating) as a fraction in simplest form.-example-1

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Answer:

Explanation:

Let's call the repeating decimal x, so x = -0.433333...

We can write this as:

10x = -4.33333...

And if we subtract x from 10x, we get:

10x - x = 9x = -4

So, x = -4/9.

Therefore, the decimal -0.43 (the 3 is repeating) as a fraction in simplest form is -4/9.

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