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Last updated on May 26th, 2025

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5/8 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, 5 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 8. 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, and those to the right represent the fractional part.

5/8 as a Decimal for UK Students
Professor Greenline from BrightChamps

What is 5/8 as a decimal?

5/8 as a decimalAnswer

 

5/8 in decimals can be written as 0.625. It is a terminating decimal, meaning it does not repeat infinitely.
 

Explanation

 

To convert 5/8 into a decimal, we will use the division method. Since 5 is smaller than 8, we will use the decimal method to find the answer 0.625. 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 (8) will be the divisor.

 

Step 2: As 5 is smaller than 8, it can't be divided, so we will use decimals. We will add 0, making 5 into 50, and add a decimal point in the quotient place.

 

Step 3: Now that it is 50, we can divide it by 8. Let's see how many times 8 fits into 50.

 

Step 4: 8 goes into 50 six times because 8 × 6 = 48. We write 6 in the quotient place and subtract 48 from 50, leaving 2.

 

Step 5: Bring down another 0 in the dividend place to make it 20, and continue the division process.

 

Step 6: 8 goes into 20 two times because 8 × 2 = 16. Write 2 in the quotient place and subtract 16 from 20, leaving 4.

 

Step 7: Bring down another 0 to make it 40, and continue. 8 goes into 40 five times because 8 × 5 = 40. Subtracting gives a remainder of 0, ending the division process.

 

The answer for 5/8 as a decimal is 0.625.

Professor Greenline from BrightChamps

Important Glossaries for 5/8 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 5/8 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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