Yes, 0.46¯ can be written as a fraction. The overline notation (¯) represents a repeating decimal. To convert it to a fraction, we can set x = 0.46¯ and multiply both sides of the equation by a power of 10 that moves the decimal point to the right of the repeating digits. In this case, we multiply by 100 to get 100x = 46.46¯.
Now, we subtract both equations to eliminate the repeating decimal:
100x - x = 46.46¯ - 0.46¯
99x = 46
x = 46/99
Therefore, 0.46¯ can be written as the fraction 46/99.
0.46¯ can be written as a fraction and why?
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