What is 0.94826 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.94826 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 0.94826 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.

0.94826 as a fraction equals 94826/100000 or 47413/50000

Now let's break down the steps for converting 0.94826 into a fraction.

Step 1:

First, we express 0.94826 as a fraction by placing it over 1:
0.94826/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.94826 x 100000/1 x 100000
  =  
94826/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 94826 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 94826 are: 1 2 17 34 2789 5578 47413 94826
The factors of 100000 are: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000
The GCF of 94826 and 100000 is: 2

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 2 in this case.
94826 ÷ 2/100000 ÷ 2
  =  
47413/50000


Great Work! We've just determined that 0.94826 as a fraction equals 94826/100000 or 47413/50000 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 proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3

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 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 mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.

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.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

Use Study.com for an entertaining video lesson approach.

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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