Converting Fractions to Percents
Grade 8 math lesson on converting fractions to percents by dividing the numerator by the denominator and multiplying by 100. Students practice converting common fractions like 1/4 and 3/5 to their percent equivalents for use in data analysis and comparison.
Key Concepts
Property To convert a fraction to a percent, multiply the fraction by 100%. For example, $\frac{1}{3} \cdot 100\% = \frac{100\%}{3} = 33\frac{1}{3}\%$.
Examples The easy way with a friendly denominator: $\frac{3}{4} = \frac{3 \cdot 25}{4 \cdot 25} = \frac{75}{100} = 75\%$. The universal method for any fraction: $\frac{5}{8} \cdot 100\% = \frac{500\%}{8} = 62\frac{1}{2}\%$. For repeating decimals, keep the fraction: $\frac{2}{3} \cdot 100\% = \frac{200\%}{3} = 66\frac{2}{3}\%$.
Explanation Ready to give a plain old fraction a flashy promotion? Just multiply it by 100%! This simple trick instantly transforms it into its percent equivalent. If the fraction’s denominator is a factor of 100 (like 4, 5, or 20), you can also create an equivalent fraction over 100 for a quick conversion.
Common Questions
How do you convert a fraction to a percent?
To convert a fraction to a percent, divide the numerator by the denominator to get a decimal, then multiply by 100 and add the percent sign. For example, 3/4 = 3 divided by 4 = 0.75 = 75%.
Why would you convert a fraction to a percent?
Converting to percent makes fractions easier to compare and understand in context. It is easier to understand that you got 85% on a test than 17/20, and easier to compare 3/5 with 5/8 after converting both to percents.
What are common fraction to percent conversions?
Common conversions: 1/2 = 50%, 1/4 = 25%, 3/4 = 75%, 1/3 = 33.3%, 2/3 = 66.7%, 1/5 = 20%, 2/5 = 40%, 3/5 = 60%, 4/5 = 80%, 1/10 = 10%.
How do you convert a mixed number to a percent?
First convert the mixed number to an improper fraction, then divide numerator by denominator to get a decimal, then multiply by 100. For example, 1 and 1/2 = 3/2 = 1.5 = 150%.