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Last updated on May 26th, 2025

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-5/4 as a Decimal

Professor Greenline Explaining Math Concepts

Understanding how to convert fractions into decimals is essential. A fraction represents a part of a whole and has two components: the numerator (the top number), which indicates how many parts are considered, and the denominator (the bottom number), which shows how many parts make up the whole. A decimal, on the other hand, represents numbers that are not whole, using a decimal point to separate the whole number from the fractional part. The numbers to the left of the decimal point represent the whole, while those to the right represent the fractional part.

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

What is -5/4 as a decimal?

-5/4 as a decimal

Answer

 

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

 

Explanation

 

To convert -5/4 into a decimal, we will use the division method. Since 5 is larger than 4, division can proceed.

 

Step 1: Identify the numerator and denominator. Here, the numerator (-5) is the dividend and the denominator (4) is the divisor.

 

Step 2: Divide 5 by 4. 4 goes into 5 once with a remainder of 1.

 

Step 3: After the initial division, add a decimal point in the quotient and bring down a 0, making the remainder 10.

 

Step 4: Divide 10 by 4, which goes 2 times (4 × 2 = 8) with a remainder of 2.

 

Step 5: Bring down another 0 to make 20, then divide by 4, which goes 5 times (4 × 5 = 20) with no remainder.

 

Thus, the division ends here, and -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 United Kingdom

At BrightChamps, we see math questions as more than just sums—they’re gateways to endless opportunities! Our mission is to help children throughout the United Kingdom develop essential skills, focusing today on the -5/4 as a Decimal with special attention to decimal conversions—in a lively, enjoyable, and easy-to-understand way. Whether your child is working out the speed of a roller coaster at Alton Towers, following scores at a local football match, or managing their pocket money to buy the latest gadgets, mastering math empowers them to face daily challenges confidently. Our interactive sessions ensure learning is both simple and enjoyable. Because every child in the UK has their own learning style, we tailor our approach to fit them perfectly. From the bustling streets of London to the scenic coasts of Cornwall, BrightChamps makes math relatable and fun throughout the UK. Let’s make decimal conversions a delightful part of your child’s math journey!
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