📚 View Lesson Summary & Study Guide

Main Learning Objective:
Understand the core concept of percents as ratios per 100, convert fluently between fractions, decimals, and percents, and recognize their application in algebraic word problems.

Key Takeaways:

  • Percent means 'per 100' and can be written as a fraction over 100, a decimal, or with the % symbol.
  • When solving mathematical problems involving percents, convert the percent to a decimal first.
  • To convert a fraction to a percent, perform long division to convert the fraction to a decimal first, then shift the decimal point two places to the right and add the percent symbol.
  • Percentages over 100% represent numbers greater than 1 whole (e.g., 125% = 1.25).