Write each percent as a fraction. Give answers in lowest terms.
$47\%$

Verified step by step guidance

1. Recall that a percent means 'per hundred,' so 47% can be written as the fraction \( \frac{47}{100} \).
2. Write the fraction explicitly: \( \frac{47}{100} \).
3. Check if the numerator and denominator have any common factors other than 1 to simplify the fraction.
4. Since 47 is a prime number and does not share any common factors with 100, the fraction \( \frac{47}{100} \) is already in its lowest terms.
5. Therefore, the fraction form of 47% in lowest terms is \( \frac{47}{100} \).

Key Concepts

Understanding Percentages

A percentage represents a part out of 100. Writing 47% means 47 parts out of 100, which can be expressed as the fraction 47/100. Recognizing this relationship is essential for converting percentages to fractions.

Converting Percent to Fraction

To convert a percent to a fraction, write the percent number over 100 and simplify if possible. For example, 47% becomes 47/100. This process involves recognizing the percent symbol as 'per hundred' and expressing it as a ratio.

Simplifying Fractions

Simplifying fractions means reducing them to their lowest terms by dividing numerator and denominator by their greatest common divisor (GCD). For 47/100, since 47 is prime and does not divide evenly into 100, the fraction is already in simplest form.