Use the formula above to find the fraction for the repeating decimal below in simplest form.
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1 point
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4/100
4/10
4/9
44/99
In the given repeating decimal, the repeating part is 4.
To convert a repeating decimal to a fraction, let's assume x is the repeating decimal:
x = 0.4444...
We can multiply both sides of the equation by 10 to get rid of the repeating part:
10x = 4.4444...
Now, let's subtract the original equation from this new equation:
10x - x = 4.4444... - 0.4444...
9x = 4
x = 4/9
So, the fraction for the given repeating decimal in simplest form is 4/9.