What is 1.0604 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.0604 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 1.0604 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.

1.0604 as a fraction equals 10604/10000 or 2651/2500

Now let's break down the steps for converting 1.0604 into a fraction.

Step 1:

First, we express 1.0604 as a fraction by placing it over 1:
1.0604/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.0604 x 10000/1 x 10000
  =  
10604/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 10604 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 10604 are: 1 2 4 11 22 44 241 482 964 2651 5302 10604
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 10604 and 10000 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.
10604 ÷ 4/10000 ÷ 4
  =  
2651/2500


Great Work! We've just determined that 1.0604 as a fraction equals 10604/10000 or 2651/2500 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 improper fractions?

Improper fractions are fractions where the numerator (the top number) is greater than or equal to the denominator (the bottom number). Example 3/2

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 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.


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

Math Planet has customized math courses for high school students.



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