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Last updated on May 26th, 2025

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31/125 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 of the whole. It has two parts: the numerator (number on the top), here 31, representing how many parts out of the whole, and the denominator (number below), here 125, showing how many parts make the whole. 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 part, and those to the right represent the fractional part.

31/125 as a Decimal for US Students
Professor Greenline from BrightChamps

What is 31/125 as a decimal?

31/125 as a decimal

 

 

Answer

31/125 in decimals can be written as 0.248. It is a terminating decimal, meaning it ends and does not repeat infinitely.

 

Explanation

To convert 31/125 to a decimal, we will use the division method. Here, as 31 is smaller than 125, we will use the decimal method to perform the division. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (31) will be taken as the dividend and the denominator (125) will be taken as the divisor.

 

Step 2: As 31 is smaller than 125, it cannot be divided directly. Here, we will take the help of decimals. We will add 0 to the dividend, making it 310, and add a decimal point in the quotient place.

 

Step 3: Now that it is 310, we can divide it by 125. Let's see how many times 125 goes into 310.

 

Step 4: 125 goes into 310 two times (2 × 125 = 250). We will write 2 in the quotient place and subtract 250 from 310, which gives us 60.

 

Step 5: Bring down another 0 in the dividend place, making it 600, and then repeat the division process.

 

Step 6: 125 goes into 600 four times (4 × 125 = 500). Write 4 in the quotient place and subtract 500 from 600, which gives us 100.

 

Step 7: Bring down another 0 in the dividend place, making it 1000, and divide again.

 

Step 8: 125 goes into 1000 eight times (8 × 125 = 1000). Write 8 in the quotient place, and the remainder is 0.

 

The division process ends here, and the answer for 31/125 as a decimal is 0.248.

Professor Greenline from BrightChamps

Important Glossaries for 31/125 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 31/125 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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