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Last updated on May 26th, 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 Indian 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 India

At BrightChamps, we understand math questions go beyond just calculations—they open doors to countless opportunities! Our goal is to assist children across India in mastering important skills like today’s focus on the 8 7/9 as a Decimal with a key emphasis on decimal conversions—in an engaging, enjoyable, and easy-to-understand way. Whether your child is calculating the speed of a train, following scores in a cricket match, or managing their pocket money for the latest gadgets, good math skills build their confidence for daily challenges. Our interactive lessons make learning fun and simple. Since children in India learn in varied ways, we adapt our teaching to fit each child’s unique style. From the bustling markets of Mumbai to the vibrant streets of Delhi, BrightChamps brings math to life, making it relevant and exciting all over India. Let’s make decimal conversions a fun part of every child’s math journey!
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