Convert Percents to Fractions and Decimals
Written by Adi Ackerman, Head Teacher
"Convert Percents to Fractions and Decimals" is written for 8th Grade (Ages 13-14). A 7th grader who is already steady on percents can use it too, and an older student can use it as a short review.
8th grade math worksheet: write 16 percents such as 45% and 37.5% as fractions in simplest form and as decimals. Answer key included. Part of our fractions, decimals and percents collection.
How do I use this worksheet?
Start with the two conversion sheets, then use the conversion table to check that students can work from any form. The maze and number line sheets make a quick review before the comparing sheets.
What students will practice
- Students will write whole number percents as fractions in simplest form.
- Students will write percents such as 12.5% and 37.5% as fractions and decimals.
- Students will check that each fraction and decimal names the same amount as the percent.
Curriculum Links
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FAQ
How do I use this fractions, decimals and percents worksheet?
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Start with the two conversion sheets, then use the conversion table to check that students can work from any form. The maze and number line sheets make a quick review before the comparing sheets.
What does this worksheet teach?
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Write 16 percents such as 45% and 37.5% as fractions in simplest form and as decimals. The directions on the page read: Write each percent as a fraction in simplest form in the boxes. Then write it as a decimal on the line. The page opens with a worked example, and an answer key is included.
Can I use this fractions, decimals and percents worksheet for homeschool or classroom?
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Yes, both. We made it for 8th grade percents, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
How do you convert a percent to a fraction and a decimal?
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Write the percent over 100 and simplify, then move the decimal point two places to the left. So 26% = 26/100 = 13/50, and 26% = 0.26. Convert Percents to Fractions and Decimals practices 16 of these.
How do you write a fraction as a percent?
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Divide the numerator by the denominator, then multiply the decimal by 100. For 2/9, 2 ÷ 9 is about 0.222, or about 22.2%. Convert Fractions to Percents and Decimals rounds repeating decimals this way.
How do you compare a fraction and a percent?
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Change both values to the same form first. Since 17/40 = 42.5%, it is greater than 42%. Compare Percents, Fractions and Decimals has 16 pairs to compare with <, > or =.
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