Writing Percents as Fractions, Part 1
Writing percents as fractions uses the definition that 'percent' means 'out of 100': n% = n/100, then reduce to lowest terms. In Grade 6 Saxon Math Course 1, students convert 20% to 20/100 = 1/5, convert 75% to 75/100 = 3/4, and convert 6% to 6/100 = 3/50. The key steps are writing the percent over 100 and then simplifying by dividing numerator and denominator by their GCF. This skill is foundational for percent calculations, proportions, and probability.
Key Concepts
New Concept A percent is a fraction with a denominator of 100. The word percent and its symbol, %, mean "per hundred." What’s next This is just the beginning. Next, you’ll walk through worked examples on how to convert any percent into a reduced fraction.
Common Questions
How do you convert a percent to a fraction?
Write the percent over 100, then simplify: n% = n/100, reduced.
What is 20% as a fraction?
20/100 = 1/5 (divide by GCF 20).
What is 75% as a fraction?
75/100 = 3/4 (divide by GCF 25).
What is 6% as a fraction?
6/100 = 3/50 (divide by GCF 2).
What is 100% as a fraction?
100/100 = 1. One hundred percent represents the whole.