Section 1
Convert a percent to a fraction
Property
To convert a percent to a fraction:
Step 1. Write the percent as a ratio with the denominator 100.
Step 2. Simplify the fraction if possible.
In this Grade 6 lesson from Reveal Math, Course 1 (Module 2), students learn to convert between fractions, decimals, and percents using place-value reasoning and the definition of percent as a ratio comparing a number to 100. Students practice writing percents like 35% and 95% as equivalent fractions and decimals, and converting fractions like 3/20 and 6/8 into percent and decimal form by finding equivalent ratios with a denominator of 100. The lesson also covers simplifying fractions first when no whole-number multiplier directly yields a denominator of 100.
Section 1
Convert a percent to a fraction
To convert a percent to a fraction:
Step 1. Write the percent as a ratio with the denominator 100.
Step 2. Simplify the fraction if possible.
Section 2
Convert Percents to Decimals
Recall that percent means 'per hundred' or 'hundredths.' A percent may be written as a decimal using the same digits but with the decimal point shifted two places to the left.
Converting percents to decimals is like a magic trick! Since 'percent' means 'out of 100,' you just take the number and move the decimal point two places to the left. If there is no decimal point, imagine it is hiding at the very end of the number before you move it. Poof! Your percent is now a decimal.
Section 3
Convert Fractions to Percents
To convert a fraction to a percent, you can create an equivalent fraction with a denominator of 100. The numerator of the new fraction is the percent value.
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Section 1
Convert a percent to a fraction
To convert a percent to a fraction:
Step 1. Write the percent as a ratio with the denominator 100.
Step 2. Simplify the fraction if possible.
Section 2
Convert Percents to Decimals
Recall that percent means 'per hundred' or 'hundredths.' A percent may be written as a decimal using the same digits but with the decimal point shifted two places to the left.
Converting percents to decimals is like a magic trick! Since 'percent' means 'out of 100,' you just take the number and move the decimal point two places to the left. If there is no decimal point, imagine it is hiding at the very end of the number before you move it. Poof! Your percent is now a decimal.
Section 3
Convert Fractions to Percents
To convert a fraction to a percent, you can create an equivalent fraction with a denominator of 100. The numerator of the new fraction is the percent value.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter