To convert the decimal \( 12.8 \) into a fraction, follow these steps:
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Write \( 12.8 \) as a fraction: \[ 12.8 = \frac{128}{10} \]
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Simplify the fraction. To do this, find the greatest common divisor (GCD) of the numerator (128) and the denominator (10). The GCD is 2.
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Divide both the numerator and the denominator by their GCD: \[ \frac{128 \div 2}{10 \div 2} = \frac{64}{5} \]
So, \( 12.8 \) can be expressed as the simplified fraction \( \frac{64}{5} \).