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Original Question
Without using a calculator, convert 0.4 to a simplified fraction.Question
Without using a calculator, convert 0.5 to a simplified fraction.
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Answered by
GPT-4o mini
To convert the decimal 0.5 to a fraction, we can recognize that 0.5 means "5 tenths" because it has one digit after the decimal point. This can be represented as:
\[
0.5 = \frac{5}{10}
\]
Next, we simplify the fraction \( \frac{5}{10} \) by finding the greatest common divisor (GCD) of 5 and 10, which is 5. We divide both the numerator and the denominator by their GCD:
\[
\frac{5 \div 5}{10 \div 5} = \frac{1}{2}
\]
Thus, the simplified fraction for 0.5 is:
\[
\boxed{\frac{1}{2}}
\]
\[
0.5 = \frac{5}{10}
\]
Next, we simplify the fraction \( \frac{5}{10} \) by finding the greatest common divisor (GCD) of 5 and 10, which is 5. We divide both the numerator and the denominator by their GCD:
\[
\frac{5 \div 5}{10 \div 5} = \frac{1}{2}
\]
Thus, the simplified fraction for 0.5 is:
\[
\boxed{\frac{1}{2}}
\]
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