What is 0.001044 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.001044 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 0.001044 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.

0.001044 as a fraction equals 1044/1000000 or 261/250000

Now let's break down the steps for converting 0.001044 into a fraction.

Step 1:

First, we express 0.001044 as a fraction by placing it over 1:
0.001044/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.001044 x 1000000/1 x 1000000
  =  
1044/1000000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 1044 and 1000000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 1044 are: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044
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 1044 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.
1044 ÷ 4/1000000 ÷ 4
  =  
261/250000


Great Work! We've just determined that 0.001044 as a fraction equals 1044/1000000 or 261/250000 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 simple or reduced fractions?

Simple or reduced fractions are fractions whose top number (numerator) and bottom number (denominator) cannot be any smaller, while still being a whole number. That is to say, the number can no longer be divided by any number other than one while still being a whole number. 1/3 is a good example of a fully reduced fraction.

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 the Least Common Multiple (LCM)?

The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 4 and 6 is 12.

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 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 fraction as a percentage?

A fraction can be converted to a percentage by dividing the numerator by the denominator and multiplying by 100. For example, 3/6 = 1/2 = 0.50 × 100 = 50%.


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 early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.

Cliff Notes is tailored for independent study for the SAT, ACT, GMAT, GRE, and AP exams. It's a free service.



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