What is 1.5045 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.5045 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 1.5045 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.

1.5045 as a fraction equals 15045/10000 or 3009/2000

Now let's break down the steps for converting 1.5045 into a fraction.

Step 1:

First, we express 1.5045 as a fraction by placing it over 1:
1.5045/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.5045 x 10000/1 x 10000
  =  
15045/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 15045 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 15045 are: 1 3 5 15 17 51 59 85 177 255 295 885 1003 3009 5015 15045
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
The GCF of 15045 and 10000 is: 5

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 5 in this case.
15045 ÷ 5/10000 ÷ 5
  =  
3009/2000


Great Work! We've just determined that 1.5045 as a fraction equals 15045/10000 or 3009/2000 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 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 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 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 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 an absolute value?

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


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 personalized 1-1 lessons check out Preply.com.

For a self-study courses for Algebra. We recommend Purple Math.



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