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 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 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 an exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

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.

What is a decimal place?

A decimal place refers to the position of a digit to the right of the decimal point. For example, in 3.141, the digit 1 is in the thousandths place.

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.

For a structured learning approach with video lessons try the Khan Academy.

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

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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