BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon137 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

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 US 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 United States

At BrightChamps, we believe math questions are more than just problems—they’re keys that unlock a world of possibilities! Our goal is to support children across the United States in mastering crucial skills, such as today’s focus on the 8 69/80 as a Decimal with an emphasis on understanding decimal conversions—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tracking scores at a Little League baseball game, or budgeting their allowance for new gadgets, having solid math skills builds their confidence for everyday life. Our hands-on lessons make learning approachable and enjoyable. Since children in the USA learn in unique ways, we customize our teaching to suit each child’s learning style. From the lively streets of New York to the sunny coasts of California, BrightChamps brings math to life, making it interesting and relevant across America. Let’s make decimal conversions an exciting part of every child’s math adventure!
INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom