In this Grade 6 lesson from Big Ideas Math Advanced 1, students learn what a percent is and how it connects to ratios and fractions, practicing how to convert percents to fractions with a denominator of 100 and how to write fractions as equivalent percents. The lesson covers writing percents such as 35% or 174% as simplified fractions or mixed numbers, and converting fractions like 3/50 to percents by finding equivalent fractions with a denominator of 100. It aligns with Common Core standard 6.RP.3c and includes real-world applications of part-to-whole reasoning.
Section 1
Understanding Percent
The word percent comes from the Latin phrase, per centium, literally "of one hundred." Percents are a special type of fraction with a denominator of 100. Percents represent fractions and means, "per hundred." The symbol "%" is used to represent percent. For example, 25% means 25 per hundred, or .
Section 2
Converting Between Percents and Fractions
To convert a percent to a fraction, use the definition: , then simplify if possible. To convert a fraction to a percent, create an equivalent fraction with a denominator of 100, like .
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Section 1
Understanding Percent
The word percent comes from the Latin phrase, per centium, literally "of one hundred." Percents are a special type of fraction with a denominator of 100. Percents represent fractions and means, "per hundred." The symbol "%" is used to represent percent. For example, 25% means 25 per hundred, or .
Section 2
Converting Between Percents and Fractions
To convert a percent to a fraction, use the definition: , then simplify if possible. To convert a fraction to a percent, create an equivalent fraction with a denominator of 100, like .
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter