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Last updated on May 26th, 2025

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5/4 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 5, representing how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 4. A decimal is a way to represent the 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.

5/4 as a Decimal for Qatari Students
Professor Greenline from BrightChamps

What is 5/4 as a decimal?

5/4 as a decimal

 

Answer

 

5/4 in decimals can be written as 1.25. It is a terminating decimal, meaning it does not repeat infinitely.

 

Explanation

 

To get 5/4 in decimal, we will use the division method. Here, 5 is greater than 4, so we will divide directly. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (4) will be taken as the divisor.

 

Step 2: Divide 5 by 4. Since 5 is greater than 4, we can divide it directly.

 

Step 3: 4 goes into 5 one time, so we write 1 in the quotient place. Subtract 4 from 5 to get 1.

 

Step 4: Bring down a 0 to make it 10. Divide 10 by 4 to get 2. Write 2 in the quotient place, and subtract 8 from 10 to get 2.

 

Step 5: Bring down another 0 to make it 20. Divide 20 by 4 to get 5. Write 5 in the quotient place, and subtract 20 from 20 to get 0. As the remainder is 0, the division ends here.

 

The answer for 5/4 as a decimal is 1.25.

Professor Greenline from BrightChamps

Important Glossaries for 5/4 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 Qatar

At BrightChamps, math questions go beyond mere calculations—they unlock endless possibilities! Our goal is to support children throughout Qatar in mastering essential skills, such as today’s focus on the 5/4 as a Decimal with a special emphasis on decimal conversions—in an engaging, enjoyable, and easy-to-understand manner. Whether your child is calculating the speed of a roller coaster at Qatar’s Angry Birds World, following scores at a local football match, or managing their allowance to buy gadgets, solid math skills boost their confidence for daily challenges. Our interactive lessons are designed to be fun and accessible. Since kids in Qatar learn in unique ways, we tailor our teaching to each child’s learning style. From Doha’s modern cityscape to its desert surroundings, BrightChamps brings math to life, making it exciting and relevant across Qatar. Let’s make decimal conversions a fun part of every child’s math journey!
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