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Last updated on May 26th, 2025

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31/40 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 from the whole. It has two parts: the numerator (number on the top), here 31, which represents how many parts out of the whole, and the denominator (number below), here 40, which shows 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 fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

31/40 as a Decimal for Australian Students
Professor Greenline from BrightChamps

What is 31/40 as a decimal?

31/40 as a decimal

Answer

 

31/40 in decimal form can be written as 0.775. This is a terminating decimal, meaning it does not repeat infinitely.

 

Explanation

 

To convert 31/40 into a decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator. The numerator (31) will be taken as the dividend, and the denominator (40) will be taken as the divisor.

 

Step 2: Perform the division 31 ÷ 40. Since 31 is smaller than 40, we will place a decimal point in the quotient and add a zero to make it 310.

 

Step 3: Divide 310 by 40. See how many times 40 fits into 310.

 

Step 4: 40 fits into 310 seven times (40 × 7 = 280). Write 7 in the quotient place. Subtract 280 from 310 to get 30.

 

Step 5: Bring down another zero, making it 300. Divide 300 by 40. 40 fits into 300 seven times (40 × 7 = 280). Write another 7 in the quotient place. Subtract 280 from 300 to get 20.

 

Step 6: Bring down another zero, making it 200. Divide 200 by 40. 40 fits into 200 exactly five times (40 × 5 = 200). Write 5 in the quotient place. Subtract 200 from 200 to get 0.

 

The answer for 31/40 as a decimal is 0.775.

Professor Greenline from BrightChamps

Important Glossaries for 31/40 as a decimal

  • Fraction: A numerical representation of a part of a whole, consisting of a numerator and a denominator.
     
  • Decimal: A number that 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 Australia

At BrightChamps, math questions are more than just exercises—they’re opportunities to grow and explore! Our mission is to help children across Australia develop important skills, including today’s focus on the 31/40 as a Decimal with special attention on decimal conversions—in a fun, lively, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Luna Park Sydney, tracking scores at a local cricket match, or managing their allowance for the latest gadgets, strong math skills give them confidence for daily challenges. Our lessons are interactive and designed to be enjoyable. Since kids in Australia learn in various ways, we customize our teaching to meet their individual styles. From Sydney’s vibrant streets to the beautiful Gold Coast beaches, BrightChamps brings math to life, making it relatable and exciting throughout Australia. Let’s make decimal conversions a fun part of every child’s math journey!
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