BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon123 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

8 3/4% as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to learn about percentages and decimals. A percentage represents a part out of 100. It is often used to describe proportions. A decimal is a way to represent numbers that are 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 3/4% as a Decimal for Qatari Students
Professor Greenline from BrightChamps

What is 8 3/4% as a decimal?

8 3/4% as a decimal

 

Answer

 

8 3/4% as a decimal can be written as 0.0875. It is a terminating decimal, which means it does not repeat infinitely.

 

Explanation

 

To convert 8 3/4% to a decimal, we first need to convert the percentage to a fraction and then to a decimal. Let's see the step-by-step breakdown of the process:

 

Step 1: Convert 8 3/4% to a fraction. This is done by writing it as 8 + 3/4 percent, which equals 35/4 percent.

 

Step 2: Convert the percentage to a fraction over 100. Since we have 35/4 percent, we write it as (35/4) / 100.

 

Step 3: Simplify the fraction (35/4) / 100 by multiplying the numerator by 1/100, which gives us 35/400.

 

Step 4: Divide 35 by 400 to get the decimal equivalent.

 

Step 5: Performing the division, 35 divided by 400 equals 0.0875.

 

The answer for 8 3/4% as a decimal is 0.0875.

Professor Greenline from BrightChamps

Important Glossaries for 8 3/4% as a decimal

  • Percentage: A numerical expression representing a fraction of 100.

 

  • Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

 

  • Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

 

  • Terminating Decimal: A decimal that ends and does not repeat infinitely.

 

  • Simplification: The process of reducing a fraction to its simplest form.
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 3/4% 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!
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