Ratios & Proportions Study Guide & Hub
Learn ratios, conversions, and proportions with interactive exercises and step-by-step guides.
Ratios & Proportions Study Guide & Hub
Ratios compare the relative sizes of two or more quantities. Explore practice topics or read the complete study guide.
Ratio Practice Topics
1. Conversion
Learn to convert fractions and decimals to ratios and simplify ratio expressions.
2. Ratios
Practice solving ratio and proportion word problems step by step.
Ratios Learning Guide
1. Conversion
Many numbers can be written as a percentage, decimal, or fraction. Converting between these forms is an important math skill.
- 1. Percent to Decimal: Divide by 100 (move the decimal point two places left).
Example: 45% = 0.45 - 2. Decimal to Percent: Multiply by 100 (move the decimal point two places right).
Example: 0.72 = 72% - 3. Fraction to Decimal: Divide the numerator (top number) by the denominator (bottom number).
Tip: Sometimes you can first expand the fraction to get a denominator of 10, 100, or 1000.
Examples: 25 = 410 = 0.4 | 34 = 75100 = 0.75 - 4. Decimal to Fraction: Write the decimal as a fraction using place value, then simplify.
Example: 0.75 = 75100 = 34
2. Ratios
A ratio compares the relative sizes of two or more quantities. It shows how much of one quantity there is compared to another.
- Write the values separated by a colon (e.g., a:b). The order must match the defined comparison.
- To simplify a ratio, divide both terms by the same greatest common factor (GCF).
Learning Topics