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Last updated on May 26th, 2025

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31/4 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of the whole and has two components: the numerator (the number on top) and the denominator (the number below). In this case, 31 is the numerator, indicating the parts being considered, while 4 is the denominator, representing the total parts that make up the whole. A decimal expresses a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. Numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

31/4 as a Decimal for Australian Students
Professor Greenline from BrightChamps

What is 31/4 as a decimal?

31/4 as a decimal

 

Answer

 

31/4 as a decimal can be written as 7.75. It is a terminating decimal, meaning it ends and does not repeat infinitely.

 

Explanation

 

To convert 31/4 into a decimal, we will use the division method. Here, since 31 is larger than 4, we can directly use division to find the decimal form.

 

Step 1: Identify the numerator and denominator. The numerator (31) will be taken as the dividend, and the denominator (4) will be the divisor.

 

Step 2: Divide 31 by 4. 31 divided by 4 gives 7 with a remainder.

 

Step 3: Multiply 7 by 4 to get 28. Subtract 28 from 31, which leaves a remainder of 3.

 

Step 4: Bring down a 0 to the remainder to make it 30. Divide 30 by 4 to get 7.5.

 

Step 5: Multiply 7.5 by 4 to get 30. Subtract 30 from 30, which leaves no remainder. The division process ends here, and we obtain the terminating decimal of 7.75.

 

The answer for 31/4 as a decimal is 7.75.

Professor Greenline from BrightChamps

Important Glossaries for 31/4 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 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 31/4 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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