Lesson: Converting Between fractions, Decimals, and Percents

In this lesson, we will learn how to convert between fractions, decimals, and percents. Understanding these relationships is essential in math, as they are different ways to represent the same value.

Key Concepts

1. fractions to Decimals: To convert a fraction to a decimal, divide the numerator by the denominator. For example, for the fraction $\frac{3}{4}$, we compute:

   $$3 \div 4 = 0.75$$

2. Decimals to fractions: To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, etc., depending on the number of decimal places. For example, for the decimal 0.6:

   $$0.6 = \frac{6}{10} = \frac{3}{5} \text{ (after simplifying)}$$

3. fractions to Percents: To convert a fraction to a percent, first convert it to a decimal and then multiply by 100. For example, for $\frac{1}{2}$:

   $$\frac{1}{2} = 0.5 \Rightarrow 0.5 \times 100 = 50\%$$

4. Decimals to Percents: To convert a decimal to a percent, multiply the decimal by 100. For instance, for 0.25:

   $$0.25 \times 100 = 25\%$$

5. Percents to Decimals: To convert a percent to a decimal, divide by 100. For example, for 75%:

   $$75 \div 100 = 0.75$$

6. Percents to fractions: To convert a percent to a fraction, write the percent over 100 and simplify. For example, for 20%:

   $$20\% = \frac{20}{100} = \frac{1}{5} \text{(after simplifying)}$$

Key Questions

• How do you convert a fraction to a decimal?
• What steps are involved in converting a decimal to a percent?
• How can you express a percent as a fraction?
• What is the relationship between these three forms of numbers?

Keywords

• fractions
• Decimals
• Percents
• Conversion
• Numerator
• Denominator