What is 5.904 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 5.904 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 5.904 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.

5.904 as a fraction equals 5904/1000 or 738/125

Now let's break down the steps for converting 5.904 into a fraction.

Step 1:

First, we express 5.904 as a fraction by placing it over 1:
5.904/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
5.904 x 1000/1 x 1000
  =  
5904/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 5904 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 5904 are: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 5904 and 1000 is: 8

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 8 in this case.
5904 ÷ 8/1000 ÷ 8
  =  
738/125


Great Work! We've just determined that 5.904 as a fraction equals 5904/1000 or 738/125 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 irrational numbers?

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 2).

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 proportion?

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 shows a proportional relationship.

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 decimal as a percentage?

A decimal can be converted to a percentage by multiplying it by 100 and adding a percent sign. For example, 0.75 × 100 = 75%.


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 personalized 1-1 lessons check out Preply.com.

For fun game based learning try Prodigy Math.

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



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