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Last updated on May 26th, 2025

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6 3/4 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 from the whole. It has two parts: the numerator (number on the top), here 6 3/4 means 6 whole parts and 3 parts out of 4 of the next whole. The denominator (number below) shows how many parts make the whole, here it is 4. A decimal is a way to represent a 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.

6 3/4 as a Decimal for UK Students
Professor Greenline from BrightChamps

What is 6 3/4 as a decimal?

6 3/4 as a decimal

 

Answer

 

6 3/4 in decimals can be written as 6.75. It is a terminating decimal.

 

Explanation

 

To get 6 3/4 in decimal, we will convert the fraction part 3/4 into decimal form and add it to the whole number 6.

 

Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the whole number and the fraction part. Here the whole number is 6, and the fraction part is 3/4.

 

Step 2: Convert the fraction 3/4 into decimal form. Divide 3 by 4.

 

Step 3: Perform the division: 3 divided by 4 equals 0.75.

 

Step 4: Add the decimal form of the fraction to the whole number: 6 + 0.75 = 6.75.

 

The answer for 6 3/4 as a decimal is 6.75.

Professor Greenline from BrightChamps

Important Glossaries for 6 3/4 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.
     
  • Whole Number: A number without fractions; an integer.
     
  • Terminating Decimal: A decimal that ends and does not repeat infinitely.
     
  • Mixed Number: A number consisting of an integer and a proper fraction.
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 6 3/4 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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