Question
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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

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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.

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