Question
Write \( 75 \% \) as a decimal and as a fraction in simplest form. \( 75 \% \) as a decimal: \( 75 \% \) as a fraction: \( \frac{\square \text { Next Question }}{7} \)
Ask by Bernard Maxwell. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(75\%\) as a decimal is **0.75**, and as a fraction in simplest form, it is \(\frac{3}{4}\).
Solution
Sure! Let's convert \(75\%\) into both a decimal and a fraction in its simplest form.
### \(75\%\) as a Decimal:
To convert a percentage to a decimal, divide by 100.
\[
75\% = \frac{75}{100} = 0.75
\]
### \(75\%\) as a Fraction:
Start by writing the percentage as a fraction over 100, then simplify:
\[
75\% = \frac{75}{100}
\]
Now, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 25:
\[
\frac{75 \div 25}{100 \div 25} = \frac{3}{4}
\]
So,
\[
75\% \text{ as a fraction} = \frac{3}{4}
\]
### Summary:
- \(75\% \) as a decimal: **0.75**
- \(75\% \) as a fraction: \(\frac{3}{4}\)
---
**Next Question:**
\[
\frac{\square}{7}
\]
*(Please provide the numerator to complete the fraction.)*
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The Deep Dive
\( 75 \% \) as a decimal: \( 0.75 \) \( 75 \% \) as a fraction: \( \frac{3}{4} \) Now, if you want to express this as \( \frac{\square \text { Next Question }}{7} \), you can set \( \square = \frac{3}{4} \times 7 = \frac{21}{4} \), leading to \( \frac{21}{4} \) next question.