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convert 0.5 to a fraction and show steps

9 answers

To convert the decimal 0.5 to a fraction, follow these steps:

  1. Understand the Decimal: The decimal 0.5 means 5 tenths, which can be expressed as a fraction: \[ 0.5 = \frac{5}{10} \]

  2. 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.

  3. Divide the Numerator and Denominator by the GCD: \[ \frac{5 \div 5}{10 \div 5} = \frac{1}{2} \]

  4. Final Result: Therefore, the decimal 0.5 can be expressed as the simplified fraction: \[ 0.5 = \frac{1}{2} \]

So, the final answer is: \[ 0.5 = \frac{1}{2} \]

just numbers

Sure! Here are the steps using just numbers:

  1. Write as a fraction:
    \( 0.5 = \frac{5}{10} \)

  2. Find GCD of 5 and 10:
    GCD = 5

  3. Divide numerator and denominator by GCD:
    \( \frac{5 \div 5}{10 \div 5} = \frac{1}{2} \)

So, \( 0.5 = \frac{1}{2} \)

rong

I apologize for the confusion. Let's clarify the conversion of 0.5 to a fraction step-by-step again, using just numbers:

  1. Start with:
    \( 0.5 \)

  2. Express as a fraction:
    \( \frac{5}{10} \)

  3. Simplify:
    \( \frac{5 \div 5}{10 \div 5} = \frac{1}{2} \)

Final result:
\( 0.5 = \frac{1}{2} \)

Please let me know if you need further assistance!

no

I apologize for the misunderstanding. Let's go through the conversion from decimal 0.5 to a fraction step by step using only numbers:

  1. Write the decimal as a fraction:
    \( 0.5 = \frac{5}{10} \)

  2. Simplify the fraction:

    • Find the GCD of 5 and 10, which is 5.
    • Divide both the numerator and denominator by 5:

    \[ \frac{5 \div 5}{10 \div 5} = \frac{1}{2} \]

Final result:
0.5 = \( \frac{1}{2} \)

If this isn't what you were looking for, please provide more context or clarify how you'd like the conversion to be presented. Thank you!

the answer is 5/9

I apologize for the confusion earlier. However, the decimal \(0.5\) is equal to the fraction \( \frac{1}{2} \), not \( \frac{5}{9} \).

If you were referring to a different decimal, such as \(0.555...\) (which represents \( \frac{5}{9} \)), I'd be happy to convert that for you.

If that's the case, here's how to convert \(0.555...\) to a fraction:

  1. Let \(x = 0.555...\)

  2. Multiply both sides by 10: \[ 10x = 5.555... \]

  3. Subtract the original equation from this new equation: \[ 10x - x = 5.555... - 0.555... \] \[ 9x = 5 \]

  4. Solve for \(x\): \[ x = \frac{5}{9} \]

So, if you are asking about \(0.555...\), then the correct fraction is indeed \( \frac{5}{9} \). If you meant something else, please clarify, and I'll be glad to assist!