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Last updated on May 26th, 2025

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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 Bahraini 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 Bahrain

At BrightChamps, math questions are more than just sums—they open the door to many opportunities! We’re dedicated to helping children all over Bahrain build key skills, such as today’s focus on the 8 3/4% as a Decimal, with a special focus on decimal conversions—in a lively, fun, and easy-to-follow way. Whether your child is figuring out the speed of a roller coaster at Bahrain’s Wahooo! Waterpark, tracking scores at a local football match, or managing their allowance for gadgets, mastering math gives them confidence to face everyday tasks. Our lessons are interactive and enjoyable. Because kids in Bahrain learn differently, we tailor our teaching to suit each child’s style. From the lively city of Manama to its peaceful beaches, BrightChamps makes math come alive, making it relevant and exciting throughout Bahrain. Let’s make decimal conversions a fun part of every child’s learning journey!
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