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Last updated on May 26th, 2025

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3/40 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here 3, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 40. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

3/40 as a Decimal for US Students
Professor Greenline from BrightChamps

What is 3/40 as a decimal?

3/40 as a decimal

Answer

 

3/40 in decimals can be written as 0.075. It is a terminating decimal, which means it ends without repeating.

 

Explanation

 

To convert 3/40 to a decimal, we use the division method. Here, 3 is smaller than 40, so we will use the decimal method to calculate it step by step.

 

Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (40) will be taken as the divisor.

 

Step 2: Since 3 is smaller than 40, it can't be divided directly, so we will add a decimal point and zeros to the dividend to make it divisible.

 

Step 3: Treat 3 as 30 by adding a decimal point and zero, and divide by 40. Since 30 cannot be divided by 40, add another zero to make it 300.

 

Step 4: Divide 300 by 40, and you get 7 as the quotient. 7 times 40 is 280. Subtract 280 from 300 to get 20.

 

Step 5: Bring down another 0 to make it 200, then divide by 40 to get 5. 5 times 40 is 200, which leaves a remainder of 0. The division process ends here, as we have a remainder of 0, making 0.075 a terminating decimal.

Professor Greenline from BrightChamps

Important Glossaries for 3/40 as a decimal

  • 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.
     
  • Terminating Decimal: A decimal that ends and does not repeat infinitely.
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 3/40 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!
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