To convert the decimal 0.5 to a fraction, follow these steps:
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Understand the Decimal: The decimal 0.5 means 5 tenths, which can be expressed as a fraction: \[ 0.5 = \frac{5}{10} \]
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Simplify the Fraction: Next, simplify the fraction \(\frac{5}{10}\). To do this, find the greatest common divisor (GCD) of the numerator (5) and the denominator (10). The GCD of 5 and 10 is 5.
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Divide the Numerator and Denominator by the GCD: \[ \frac{5 \div 5}{10 \div 5} = \frac{1}{2} \]
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Final Result: Therefore, the decimal 0.5 can be expressed as the simplified fraction: \[ 0.5 = \frac{1}{2} \]
So, the final answer is: \[ 0.5 = \frac{1}{2} \]