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Last updated on May 26th, 2025

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7 8/9 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: numerator (number on the top) and denominator (number below). The numerator shows how many parts are considered, here 8, and the denominator shows how many parts make the whole, here it is 9. A decimal is a way to represent the number that is not whole using a decimal point (.) to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

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

What is 7 8/9 as a decimal?

7 8/9 as a decimal

Answer

 

7 8/9 in decimals can be written as 7.8888….. It is a recurring decimal, showing it will repeat the same digit infinitely.

 

Explanation

 

To get 7 8/9 in decimal, we will convert the fraction part first. The whole number 7 remains as is. Now, let's convert 8/9 to decimal.

 

Step 1: Identify the numerator and denominator because the numerator (8) will be taken as the dividend and the denominator (9) as the divisor.

 

Step 2: As 8 is smaller than 9, it can't be divided easily. We will use decimals by adding a 0 to the dividend, which makes it 80, and add a decimal point in the quotient.

 

Step 3: Now that it is 80, we can divide it by 9. Let's see how many times 9 makes 80.

 

Step 4: 80 is not a multiple of 9, so we look for the nearest number less than 80, which is 9 × 8 = 72. We subtract 72 from 80 to get 8.

 

Step 5: Bring down another 0 in the dividend place to make it 80, and then repeat the division process. The division process continues, and we don't get a remainder of 0. This process is called a recurring decimal.

 

The answer for 7 8/9 as a decimal will be 7.8888……

Professor Greenline from BrightChamps

Important Glossaries for 7 8/9 as a decimal

  • Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
     
  • Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
     
  • 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.
     
  • Recurring Decimal: A decimal that repeats the same digit or group of digits infinitely.
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 7 8/9 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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