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Last updated on May 26th, 2025

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10.6875 as a Fraction

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Numbers can be categorized into different types. A fraction is one of its kinds. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, converting the number 10.6875 into a fraction involves understanding how to express it as a fraction.

10.6875 as a Fraction for Indonesian Students
Professor Greenline from BrightChamps

What is 10.6875 as a Fraction?

10.6875 as a fraction

Answer

 

The answer for 10.6875 as a fraction is 4275/400 or simplified as 171/16.

 

Explanation

 

Converting a decimal to a fraction is a straightforward task. Follow the steps below to find the answer.

 

Step 1: Initially, convert the decimal number to a fraction. Here, 10.6875 is the number in the numerator, and the base number 1 is the denominator. Thus, 10.6875 becomes 10.6875/1.

 

Step 2: To remove the decimal, multiply both the numerator and denominator by 10000 (as there are four decimal places). 10.6875/1 × 10000/10000 = 106875/10000

 

Step 3: Determine the GCD of 106875 and 10000, which is 625. Divide both the numerator and the denominator by 625 to simplify the fraction. 106875/10000 = 4275/400

 

Step 4: Continue simplifying the fraction. The GCD of 4275 and 400 is 25. Divide both the numerator and denominator by 25. 4275/400 = 171/16

 

Thus, 10.6875 can be written as a fraction 171/16.

Professor Greenline from BrightChamps

Important Glossaries for 10.6875 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 number that divides two or more numbers without a remainder.
Professor Greenline from BrightChamps

About BrightChamps in Indonesia

At BrightChamps, we understand math questions are more than just calculations—they’re gateways to countless opportunities! Our mission is to support kids across Indonesia in building key math skills, focusing today on the 10.6875 as a Fraction with a special focus on fraction conversions—in a way that’s engaging, enjoyable, and easy to learn. Whether your child is figuring out how fast a roller coaster moves through Dunia Fantasi, tracking scores at a local badminton game, or managing their allowance for the latest gadgets, solid math skills give them confidence for everyday tasks. Our interactive lessons keep learning both simple and fun. Because children in Indonesia learn in different ways, we tailor our approach to each child’s style. From Jakarta’s bustling streets to Bali’s beautiful beaches, BrightChamps brings math to life, making it relevant and exciting throughout Indonesia. Let’s make fraction conversions an enjoyable part of every child’s math journey!
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