What is 0.004468 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.004468 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 0.004468 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.

0.004468 as a fraction equals 4468/1000000 or 1117/250000

Now let's break down the steps for converting 0.004468 into a fraction.

Step 1:

First, we express 0.004468 as a fraction by placing it over 1:
0.004468/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.004468 x 1000000/1 x 1000000
  =  
4468/1000000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 4468 and 1000000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 4468 are: 1 2 4 1117 2234 4468
The factors of 1000000 are: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 200000 250000 500000 1000000
The GCF of 4468 and 1000000 is: 4

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 4 in this case.
4468 ÷ 4/1000000 ÷ 4
  =  
1117/250000


Great Work! We've just determined that 0.004468 as a fraction equals 4468/1000000 or 1117/250000 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.

Why is there a need to convert decimals to fractions anyway?

The U.S. is one of a few countries worldwide that still uses the Imperial system of measurement, which is a fractional measurement system, where items are measured in feet, inches, pounds, ounces, yards, and so on. The majority of the rest of the world uses the metric system, which is a decimal measurement system, where items are measured in cm, meters, grams, kilos, and so on.

What are composite numbers?

Composite numbers are numbers that are greater than 1 and have more than two factors. For example, 6 is a composite number because it has factors 1, 2,3 and 6.

What are rational numbers?

A rational number is any number that can be expressed as the fraction of two integers, such as 3/4, -5/2, or 0.75.

What is a decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents 1/2.

What is a terminating decimal?

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.35 and 3.5 are terminating 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.

Use Study.com for an entertaining video lesson approach.

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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