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Last updated on March 17th, 2025

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8 7/9 as a Decimal

Professor Greenline Explaining Math Concepts

Converting a mixed number to a decimal involves understanding both fractions and decimals. A mixed number consists of a whole number and a fraction. In this case, 8 is the whole number, and 7/9 is the fraction. A decimal uses a period (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

8 7/9 as a Decimal for Thai Students
Professor Greenline from BrightChamps

What is 8 7/9 as a decimal?

8 7/9 as a decimal

Answer

 

8 7/9 in decimal form is approximately 8.77777… It is a recurring decimal, indicating that the digit 7 repeats infinitely.

 

Explanation

 

To convert 8 7/9 to a decimal, we first convert the fraction 7/9 to a decimal. We will use the division method.

 

Step 1: Identify the numerator and denominator. Here, 7 is the numerator, and 9 is the denominator.

 

Step 2: Divide 7 by 9. Since 7 is smaller than 9, we use decimals. Add a decimal point and zero, making it 70.

 

Step 3: 9 goes into 70 a total of 7 times (since 9 × 7 = 63). Place 7 in the quotient and subtract 63 from 70 to get 7.

 

Step 4: Bring down another 0, making it 70 again, and repeat the division process.

 

Step 5: This process will repeat indefinitely, resulting in a recurring decimal of 0.77777…

 

Finally, add this to the whole number part, 8, to get 8.77777…

Professor Greenline from BrightChamps

Important Glossaries for 8 7/9 as a decimal

  • Mixed Number: A number consisting of an integer and a fractional part.
     
  • Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
     
  • Recurring Decimal: A decimal in which one or more digits repeat infinitely.
     
  • Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
     
  • Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Professor Greenline from BrightChamps

About BrightChamps in Thailand

At BrightChamps, math questions go beyond simple problems—they open the door to endless opportunities! Our goal is to help children throughout Thailand master important skills, such as today’s focus on the 8 7/9 as a Decimal, with a special focus on decimal conversions—in a way that’s engaging, fun, and simple to follow. Whether your child is calculating the speed of a roller coaster at Dream World, tracking scores at a local football match, or managing their allowance to buy the latest gadgets, solid math skills give them the confidence to handle everyday tasks. Our lessons are designed to be interactive and enjoyable. Because children in Thailand have different learning styles, we customize our teaching to suit each one. From the busy streets of Bangkok to the tropical islands of Phuket, BrightChamps brings math to life, making it relatable and exciting across Thailand. Let’s make decimal conversions a fun part of every child’s math journey!
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