Representing a number as a decimal, percent, and fraction 2 | Decimals | Pre-Algebra | Khan Academy

TL;DR

Learn how to convert the fraction 7/8 into a decimal, which is 0.875, and into a percent, which is 87.5%.

Transcript

We're asked to write 7/8 as a decimal and as a percent. We'll start off with a decimal, and we'll see it's pretty easy to go from a decimal to a percent. Now, whenever you see a problem like this, it's sometimes confusing. It's like, how do I even get it into a decimal, or as a fraction over 100, or as a percentage? And you always have to remember ... Read More

Key Insights

• ➗ Converting a fraction to a decimal involves dividing the numerator by the denominator using long division, going behind the decimal point until there are no remainders.
• 🤬 To convert a decimal to a percent, multiply it by 100 and add the percent symbol.
• 🧑‍🏭 The decimal representation of a fraction will always be smaller than its percent representation by a factor of 100.

Questions & Answers

Q: How do you convert the fraction 7/8 into a decimal?

To convert 7/8 into a decimal, divide 7 by 8 using long division and keep going behind the decimal point until there are no remainders. The decimal value is 0.875.

Q: How do you convert the fraction 7/8 into a percent?

To convert 7/8 into a percent, multiply the decimal value (0.875) by 100 and add the percent symbol. The percent value is 87.5%.

Q: Can the fraction 7/8 be simplified?

The fraction 7/8 cannot be simplified further because 7 and 8 do not share a common factor other than 1.

Q: What does it mean to convert a fraction into a decimal or a percent?

Converting a fraction into a decimal means finding the decimal representation of the fraction, while converting it into a percent means finding the equivalent percentage value.

Summary & Key Takeaways

• To convert the fraction 7/8 into a decimal, divide 7 by 8 using long division and keep going behind the decimal point until there are no remainders. The decimal value of 7/8 is 0.875.

• To convert the fraction 7/8 into a percent, multiply the decimal value (0.875) by 100 and add the percent symbol. The percent value of 7/8 is 87.5%.