What is 0.17749 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.17749 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 0.17749 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.

0.17749 as a fraction equals 17749/100000

Now let's break down the steps for converting 0.17749 into a fraction.

Step 1:

First, we express 0.17749 as a fraction by placing it over 1:
0.17749/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.17749 x 100000/1 x 100000
  =  
17749/100000


Great Work! We've just determined that 0.17749 as a fraction equals 17749/100000 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 mixed numbers?

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

What are imperial fractions?

Yards, feet, and inches are all part of the Imperial measurement system, so a 1/4 of an inch is described as an imperial 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 an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

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.

What is a percentage as a fraction?

A percentage can be written as a fraction by placing it over 100 and simplifying. For example, 20% = 20/100 = 1/5.


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.

For a structured learning approach with video lessons try the Khan Academy.

For fun game based learning try Prodigy Math.

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.



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