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Last updated on May 26th, 2025

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3 1/2% as a Decimal

Professor Greenline Explaining Math Concepts

Understanding decimal conversion is essential in mathematics. We must first be familiar with percentages and decimals. A percentage represents a part of 100. A decimal is a way to express numbers that are not whole, using 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.

3 1/2% as a Decimal for Bahraini Students
Professor Greenline from BrightChamps

What is 3 1/2% as a decimal?

 

3 1/2% as a decimal

 

Answer:

 

3 1/2% as a decimal can be written as 0.035.

 

Explanation:

 

To convert 3 1/2% to a decimal, we first convert the mixed number to an improper fraction. 3 1/2 is equivalent to 7/2. Then, to convert this percentage to a decimal, divide the fraction by 100, since percent means per hundred. Let's break it down step by step:

 

Step 1: Convert the mixed number to an improper fraction. 3 1/2 = 7/2.

 

Step 2: Convert the percentage to a fraction over 100. So, (7/2)% = (7/2) / 100.

 

Step 3: Simplify (7/2) / 100 to 7/200.

 

Step 4: Divide 7 by 200 to convert the fraction to a decimal.

 

Step 5: 7 ÷ 200 = 0.035. Thus, 3 1/2% as a decimal is 0.035.

Professor Greenline from BrightChamps

Important Glossaries for 3 1/2% as a decimal

  • Percentage: A fraction or ratio expressed as part of 100.

 

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

 

  • Mixed Number: A whole number and a fraction combined into one "mixed" number.

 

  • Improper Fraction: A fraction where the numerator is greater than or equal to the denominator.

 

  • Fraction: A numerical quantity representing a part of a whole.
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 3 1/2% 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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