What is 6.6875 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 6.6875 into a fraction. We will start by understanding how a decimal represents the fractional part of a number, then break down the steps to rewrite 6.6875 as a fraction. Finally, we will simplify the fraction by identifying and applying the Greatest Common Factor, ensuring the results are in the simplest form.

By the end of this guide, you should have a good understanding of decimal to fraction conversions and be able to apply this knowledge to various mathematical problems. Let's begin.

6.6875 as a fraction equals 66875/10000 or 107/16

Now let's break down the steps for converting 6.6875 into a fraction.

Step 1:

First, we express 6.6875 as a fraction by placing it over 1:
6.6875/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
6.6875 x 10000/1 x 10000
  =  
66875/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 66875 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 66875 are: 1 5 25 107 125 535 625 2675 13375 66875
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
The GCF of 66875 and 10000 is: 625

Step 4:

To simplify the fraction, we divide both the numerator and denominator by their greatest common factor (GCF), which we calculated in the previous step. The GCF value is 625 in this case.
66875 ÷ 625/10000 ÷ 625
  =  
107/16


Great Work! We've just determined that 6.6875 as a fraction equals 66875/10000 or 107/16 in its simplest form.

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Frequently asked math questions, including decimals and fractions

Read the following section to help deepen your understanding of basic math concepts.

What are whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

What are mixed numbers?

A mixed number is made up of a whole number and a proper fraction.

What is a square root?

The square root of a number is a value when multiplied by itself, gives that number. For example, the square root of 9 is 3 because 3 × 3 = 9.

What is a median?

The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.

What is a repeating decimal?

A repeating decimal is a decimal in which a digit or group of digits repeats infinitely. For example, 0.3333... (where 3 repeats forever) and 0.142857142857... (where 142857 repeats) are repeating decimals.

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into decimals.


Educational math links

There are numerous online resources available (some free and some paid) for learning math including decimals and fractions. These range from interactive games to in-depth courses and lessons. We recommend these websites as a valuable resource for students of all skill levels.

Desmos.com has a focus on equation, functions and visual graphs.

Math Is Fun covers math topics including decimals, fractions, data, money, algebra, and calculus. Courses are designed for students from Kindergarten to Grade 12.

For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.



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