Write each percent as a fraction. Give answers in lowest terms.
$51\%$

Verified step by step guidance

1. Recall that a percent means 'per hundred,' so 51% can be written as the fraction \( \frac{51}{100} \).
2. Write the fraction \( \frac{51}{100} \) explicitly to represent 51%.
3. Check if the numerator (51) and the denominator (100) have any common factors other than 1 to simplify the fraction.
4. Determine the greatest common divisor (GCD) of 51 and 100 to simplify the fraction if possible.
5. Divide both the numerator and the denominator by their GCD to express the fraction in lowest terms.

Key Concepts

Understanding Percentages

A percentage represents a part out of 100. Writing 51% means 51 parts out of 100, which can be expressed as the fraction 51/100. 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, 51% becomes 51/100. This process involves understanding that 'percent' literally means 'per hundred.'

Simplifying Fractions

Simplifying fractions means reducing them to their lowest terms by dividing numerator and denominator by their greatest common divisor (GCD). For 51/100, since 51 and 100 share no common factors other than 1, the fraction is already in simplest form.