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Last updated on May 26th, 2025

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6/8 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on top) here, 6, represents how many parts out of the whole we have. The denominator (the number below) is 8, indicating how many parts make up the whole. A decimal is a way to represent a number that is not whole, using 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.

6/8 as a Decimal for Singaporean Students
Professor Greenline from BrightChamps

What is 6/8 as a decimal?

6/8 as a decimal

 

Answer

 

6/8 in decimals can be written as 0.75. It is a terminating decimal, meaning it does not repeat infinitely.

 

Explanation

 

To convert 6/8 into a decimal, we will use the division method. Here, as 6 is smaller than 8, we will use the decimal method, which will give us 0.75. Let's look at the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (6) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: As 6 is smaller than 8, it can't be divided as a whole number, so we will use decimals. We will add a decimal point in the quotient place and a zero to the dividend, making it 60.

Step 3: Now that it is 60, we can divide it by 8. Let's see how many times 8 fits into 60.

Step 4: 8 × 7 = 56, which is the nearest multiple of 8 less than 60. We will write 7 in the quotient place, subtract 56 from 60, which gives us 4.

Step 5: Bring down another 0 in the dividend place, making it 40, and then continue the division process.

Step 6: 8 × 5 = 40, which fits exactly. Subtract 40 from 40 to get a remainder of 0. The division process results in a terminating decimal.

 

The answer for 6/8 as a decimal is 0.75.

Professor Greenline from BrightChamps

Important Glossaries for 6/8 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 Singapore

At BrightChamps, we believe math questions are more than just exercises—they’re opportunities for growth! Our mission is to support children across Singapore in developing important skills, such as today’s focus on the 6/8 as a Decimal with a key emphasis on decimal conversions—in an engaging, enjoyable, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Universal Studios Singapore, tracking scores at a local football match, or managing their allowance for the latest gadgets, strong math skills build their confidence to face daily tasks. Our lessons are interactive and fun. Since kids in Singapore have diverse learning styles, we customize our teaching to suit each child. From the bustling city streets to the scenic gardens, BrightChamps makes math come alive, making it relevant and exciting throughout Singapore. Let’s make decimal conversions an enjoyable part of every child’s learning journey!
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