What is 0.008464 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.008464 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 0.008464 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.

0.008464 as a fraction equals 8464/1000000 or 529/62500

Now let's break down the steps for converting 0.008464 into a fraction.

Step 1:

First, we express 0.008464 as a fraction by placing it over 1:
0.008464/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.008464 x 1000000/1 x 1000000
  =  
8464/1000000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 8464 and 1000000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 8464 are: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 4232 8464
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 8464 and 1000000 is: 16

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 16 in this case.
8464 ÷ 16/1000000 ÷ 16
  =  
529/62500


Great Work! We've just determined that 0.008464 as a fraction equals 8464/1000000 or 529/62500 in its simplest form.

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Examples of converting decimals to fractions

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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.

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Improper fractions are fractions where the numerator (the top number) is greater than or equal to the denominator (the bottom number). Example 3/2

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 prime numbers?

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17 and so on.

What is a percentage?

A percentage is a number as a fraction of 100. It is denoted using the '%' symbol. For example, 20% means 20 out of 100.

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 ratio?

A ratio is a relationship between two numbers that shows how many times one value is contained within another. For example, the ratio 3:1 means there are 3 parts of one quantity for every 1 part of another.


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 fun game based learning try Prodigy Math.

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

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.



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