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Last updated on May 26th, 2025

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0.6875 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. Fractions are one such type. They are always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents both a whole and a part of a whole. Decimals represent the fractional part of numbers. For example, in the fraction 1/2, the numbers in decimal are expressed with a decimal point (.), such as 0.6875. We are going to learn how to convert a decimal to a fraction.

0.6875 as a Fraction for UK Students
Professor Greenline from BrightChamps

What is 0.6875 as a Fraction?

0.6875 as a fraction

Answer

 

The answer for 0.6875 as a fraction is 11/16.

 

Explanation

 

Converting a decimal to a fraction is a straightforward process that students can learn easily. You can follow the steps mentioned below to find the answer.

 

Step 1: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 0.6875 is the number in the numerator, and the base number 1 will be the denominator. Thus, 0.6875 becomes 0.6875/1.

 

Step 2: To eliminate the decimal from a fraction, you need to multiply both the numerator and denominator by 10000 (because there are 4 decimal places). 0.6875/1 × 10000/10000 = 6875/10000

 

Step 3: The GCD of 6875 and 10000 is 625. Now, to simplify the fraction, divide the numerator and the denominator by 625. 6875/10000 = 11/16 Hence, 0.6875 can be written as the fraction 11/16.

 

Thus, 0.6875 can be expressed as the fraction 11/16.

Professor Greenline from BrightChamps

Important Glossaries for 0.6875 as a Fraction

  • 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.

 

  • Greatest Common Divisor (GCD): The largest positive integer that divides each of the integers without a remainder.
Professor Greenline from BrightChamps

About BrightChamps in United Kingdom

At BrightChamps, we know math questions are more than just sums—they’re pathways to countless opportunities! We’re dedicated to helping children throughout the United Kingdom build essential math skills, focusing today on the 0.6875 as a Fraction with an emphasis on fraction conversions—delivered in an enjoyable, lively, and simple way. Whether your child is figuring out how fast a roller coaster speeds through Alton Towers, keeping score at a local football match, or managing their pocket money for the latest gadgets, mastering math skills gives them the confidence to meet daily challenges. Our engaging lessons make learning clear and fun. Since children across the UK learn in various ways, we tailor our teaching to each individual’s needs. From the busy streets of London to the scenic coasts of Cornwall, BrightChamps brings math to life, making it relevant and exciting throughout the UK. Let’s make fraction conversions a delightful part of every child’s math journey!
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