Converting Fractions, Decimals, and Percentages
Overview
This guide provides an overview of how to convert between fractions, decimals, and percentages. It is divided into several sections, each focusing on different conversion methods.
Converting Decimals to Fractions
- Example 1:
- 0.38 means 38 hundredths.
- Conversion: (0.38 = \frac{38}{100} = \frac{19}{50}).
- Example 2:
- 0.4 means 4 tenths.
- Conversion: (0.4 = \frac{4}{10} = \frac{2}{5}).
- Example 3:
- 0.125 means 125 thousandths.
- Conversion: (0.125 = \frac{125}{1,000} = \frac{1}{8}).
Converting Fractions to Decimals
- Example 1:
- (\frac{3}{10}) means three tenths.
- Decimal: 0.3.
- Example 2:
- (\frac{17}{100}) means seventeen hundredths.
- Decimal: 0.17.
- Using a Calculator:
- When the denominator isn't a multiple of 10, divide the numerator by the denominator.
- Example: (\frac{3}{4} = 0.75), (\frac{16}{25} = 0.64).
Converting Decimals to Percentages
- Multiply by 100% to convert.
- Example 1:
- (0.35) to percentage: (35%).
- Example 2:
- (0.2) to percentage: (20%).
- Example 3:
- (0.375) to percentage: (37.5%).
Converting Fractions to Percentages
- Method 1: Convert the fraction to have a denominator of 100.
- Example: (\frac{6}{10} = 60%).
- Method 2: Convert to a decimal then multiply by 100%.
- Example: (\frac{3}{8} = 37.5%).
Converting Percentages to Fractions and Decimals
- Divide by 100 to convert.
- Example 1:
- 85% as a fraction: (\frac{17}{20}).
- 85% as a decimal: 0.85.
Practice Questions and Answers
- Write (0.7) as a fraction in its simplest form:
- Write (\frac{9}{100}) as a decimal:
- Convert (0.34) and (0.005) to percentages:
Additional Resources
- Video: How to change a fraction into a percentage.
- Image Slideshow: Visual steps to convert fractions to percentages.
Conclusion
Understanding these conversions is fundamental in mathematics, especially in situations involving financial literacy, measurements, and data analysis.