Percents To Fractions And Decimals
Converting percents to fractions and decimals in Grade 7 relies on the core meaning of percent: per hundred. To convert, write the percent over 100 and simplify (for fractions), or move the decimal two places left (for decimals). In Saxon Math, Course 2, 60% = 60/100 = 3/5 as a fraction and 0.6 as a decimal; 150% = 150/100 = 1½ = 1.5. This fluency with conversions is essential for calculating discounts, solving proportions, understanding statistics, and working with probability — all key areas in Grade 7 and beyond.
Key Concepts
Property To convert a percent, remember that 'percent' means 'out of 100'. So, $x\% = \frac{x}{100}$.
Examples $ 60\% = \frac{60}{100} = \frac{3}{5} $ $ 60\% = \frac{60}{100} = 0.6 $ $ 150\% = \frac{150}{100} = 1\frac{1}{2} = 1.5 $.
Explanation Think of a percent as a disguise! To reveal its true fraction or decimal identity, you just unmask it. The percent sign (\%) is a secret code for "divide by 100." Once you do that, you've got a fraction! From there, you can easily find the decimal form by just dividing.
Common Questions
How do you convert a percent to a fraction?
Write the percent number over 100, then simplify. For example, 60% = 60/100 = 3/5.
How do you convert a percent to a decimal?
Divide by 100 or move the decimal point two places to the left. For example, 60% = 0.60 = 0.6.
How do you convert a percent greater than 100 to a mixed number?
Write the percent over 100 and simplify. For example, 150% = 150/100 = 1 50/100 = 1½ = 1.5.
What does percent mean?
Percent means per hundred — out of 100. The symbol % represents division by 100. So x% = x/100.
Where is converting percents to fractions and decimals taught in Saxon Math Course 2?
This conversion skill is covered in Saxon Math, Course 2, as part of Grade 7 number and operations content.
Why is it useful to convert between percent, fraction, and decimal forms?
Different problem types call for different forms. Proportions often use fractions, calculators use decimals, and percents are common in everyday language. Fluency with all three makes problem-solving more flexible.
What common mistakes do students make converting percents?
Students often move the decimal the wrong way (right instead of left), forget to simplify the fraction, or confuse percents greater than 100 with their improper fraction equivalents.