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Last updated on May 26th, 2025

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8 69/80 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) here, 69 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 80. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point 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 69/80 as a Decimal for Qatari Students
Professor Greenline from BrightChamps

What is 8 69/80 as a decimal?

8 69/80 as a decimal

 

Answer

 

8 69/80 in decimals can be written as 8.8625. It is a terminating decimal, meaning it ends and does not repeat.

 

Explanation

 

To get 8 69/80 in decimal, we will use the division method for the fractional part. Here, as 69 is smaller than 80, we will proceed with the division to convert the fraction to a decimal. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (69) will be taken as the dividend and the denominator (80) will be taken as the divisor.

 

Step 2: Divide 69 by 80. As 69 is smaller than 80, we will add a decimal point and 0 to the dividend, making it 690.

 

Step 3: Now, 80 goes into 690 eight times since 80 × 8 = 640. Write 8 in the quotient place.

 

Step 4: Subtract 640 from 690, which gives 50. Bring down another 0 to make it 500.

 

Step 5: 80 goes into 500 six times since 80 × 6 = 480. Write 6 in the quotient place.

 

Step 6: Subtract 480 from 500, which gives 20. Bring down another 0 to make it 200.

 

Step 7: 80 goes into 200 two times since 80 × 2 = 160. Write 2 in the quotient place.

 

Step 8: Subtract 160 from 200, which gives 40. Bring down another 0 to make it 400.

 

Step 9: 80 goes into 400 five times since 80 × 5 = 400. Write 5 in the quotient place and the remainder is 0.

 

The answer for 8 69/80 as a decimal will be 8.8625.

Professor Greenline from BrightChamps

Important Glossaries for 8 69/80 as a decimal

  • Mixed Number: A number consisting of an integer and a fraction combined.

 

  • 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.
Professor Greenline from BrightChamps

About BrightChamps in Qatar

At BrightChamps, math questions go beyond mere calculations—they unlock endless possibilities! Our goal is to support children throughout Qatar in mastering essential skills, such as today’s focus on the 8 69/80 as a Decimal with a special emphasis on decimal conversions—in an engaging, enjoyable, and easy-to-understand manner. Whether your child is calculating the speed of a roller coaster at Qatar’s Angry Birds World, following scores at a local football match, or managing their allowance to buy gadgets, solid math skills boost their confidence for daily challenges. Our interactive lessons are designed to be fun and accessible. Since kids in Qatar learn in unique ways, we tailor our teaching to each child’s learning style. From Doha’s modern cityscape to its desert surroundings, BrightChamps brings math to life, making it exciting and relevant across Qatar. Let’s make decimal conversions a fun part of every child’s math journey!
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