Question
9. [-/5.55 Points] DETAILS MY NOTES AUFMO Write \( 44 \% \) as a decimal and as a fraction. decimal fraction
Ask by Rose Wood. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(44\%\) as a decimal is \(0.44\) and as a fraction is \(\frac{11}{25}\).
Solution
**Step 1: Convert \(44\%\) to a Decimal**
A percentage means "per hundred", so:
\[
44\% = \frac{44}{100} = 0.44
\]
**Step 2: Convert \(44\%\) to a Fraction**
Starting with:
\[
44\% = \frac{44}{100}
\]
We simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is \(4\):
\[
\frac{44}{100} = \frac{44 \div 4}{100 \div 4} = \frac{11}{25}
\]
**Answer:**
- Decimal: \(0.44\)
- Fraction: \(\frac{11}{25}\)
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Simplify this solution Bonus Knowledge
To convert \( 44\% \) into a decimal, simply divide it by \( 100 \). So, \( 44 \div 100 = 0.44 \). That’s your decimal representation! Now, to express \( 44\% \) as a fraction, you start with \( 44 \) over \( 100 \), which gives you \( \frac{44}{100} \). You can simplify this fraction by dividing both numerator and denominator by their greatest common divisor, \( 4 \), resulting in \( \frac{11}{25} \). So you’ve got \( 0.44 \) as a decimal and \( \frac{11}{25} \) as a fraction!
