Lesson Description
This lesson explores the relationships between fractions, decimals, and percents. You will learn how to convert numbers from one form to another and identify equivalent values.
Learning Objectives
- Convert fractions to decimals and percents.
- Convert decimals to fractions and percents.
- Convert percents to fractions and decimals.
- Recognize equivalent values across all three forms.
Topics Covered
- Fractions to decimals and percents
- Decimals to fractions and percents
- Percents to fractions and decimals
- Equivalent relationships
Key Terms
- Fraction: A number representing part of a whole.
- Decimal: A fraction expressed with a denominator of a power of ten.
- Percent: A fraction out of 100, represented with the % symbol.
Lesson Examples
Example 1: Fraction to Decimal & Percent
- Convert 3/4 to a decimal: 3 ÷ 4 = 0.75
- Convert 0.75 to a percent: 0.75 × 100 = 75%
Example 2: Decimal to Fraction & Percent
- Convert 0.6 to a fraction: 0.6 = 6/10 = 3/5
- Convert 0.6 to a percent: 0.6 × 100 = 60%
Example 3: Percent to Fraction & Decimal
- Convert 125% to a decimal: 125 ÷ 100 = 1.25
- Convert 125% to a fraction: 125/100 = 5/4
Practice Problems
- Convert 2/5 to a decimal and percent.
- Convert 0.85 to a fraction and percent.
- Convert 40% to a fraction and decimal.
- Identify which of the following are equivalent: 0.5, 1/2, 50%
Tips & Common Mistakes
- Always simplify fractions when possible before converting.
- Remember to divide numerator by denominator for fractions to decimals.
- Multiply decimals by 100 to get percents.
Summary
Fractions, decimals, and percents are different representations of the same quantities. Being able to convert between these forms allows you to compare and compute effectively in math and real-world situations.
Challenge Problems
- Convert 7/8 to a decimal and percent.
- Convert 0.375 to a fraction and percent.
- Convert 220% to a fraction and decimal.