Question
convert 0.5 to a fraction and show steps
Answers
Answer
just numbers
Answer
rong
Answer
no
Answer
the answer is 5/9
Answered by
GPT-4o mini
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:
\[
0.5 = \frac{1}{2}
\]
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:
\[
0.5 = \frac{1}{2}
\]
Answered by
GPT-4o mini
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, \( 0.5 = \frac{1}{2} \)
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, \( 0.5 = \frac{1}{2} \)
Answered by
GPT-4o mini
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!
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!
Answered by
GPT-4o mini
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!
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!
Answered by
GPT-4o mini
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!
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!
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