Writing Fractions and Decimals as Percents, Part 1
Convert fractions and decimals to percents in Grade 6 math — multiply decimals by 100 or set up proportions with denominator 100 to find the equivalent percent value.
Key Concepts
New Concept A percent is a fraction with a denominator of 100. Instead of writing the denominator, we use a percent sign (%), so $\frac{42}{100}$ equals 42%. What’s next This lesson is the foundation for working with percents. Soon, you'll tackle worked examples on converting basic fractions and decimals into their percent equivalents.
Common Questions
How do you convert a decimal to a percent?
Multiply the decimal by 100 and add the percent symbol. This moves the decimal point two places to the right. For example, 0.75 times 100 equals 75 percent.
How do you convert a fraction to a percent?
Divide the numerator by the denominator to get a decimal, then multiply by 100. For example, 3 divided by 4 equals 0.75, and 0.75 times 100 equals 75 percent. Alternatively, set up a proportion over 100.
What benchmark fractions and percents should students memorize?
Key conversions include one-half equals 50 percent, one-quarter equals 25 percent, three-quarters equals 75 percent, one-fifth equals 20 percent, and one-tenth equals 10 percent. These benchmarks speed up estimation significantly.
When are percents more useful than fractions or decimals?
Percents are most useful for comparisons and clear communication. Saying 75 percent of students passed is often clearer than saying three-quarters. Percents are standard in statistics, finance, and media reporting.