What is 1.04598 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.04598 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 1.04598 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.

1.04598 as a fraction equals 104598/100000 or 52299/50000

Now let's break down the steps for converting 1.04598 into a fraction.

Step 1:

First, we express 1.04598 as a fraction by placing it over 1:
1.04598/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.04598 x 100000/1 x 100000
  =  
104598/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 104598 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 104598 are: 1 2 3 6 9 13 18 26 27 39 54 78 117 149 234 298 351 447 702 894 1341 1937 2682 3874 4023 5811 8046 11622 17433 34866 52299 104598
The factors of 100000 are: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000
The GCF of 104598 and 100000 is: 2

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 2 in this case.
104598 ÷ 2/100000 ÷ 2
  =  
52299/50000


Great Work! We've just determined that 1.04598 as a fraction equals 104598/100000 or 52299/50000 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 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 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 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 an absolute value?

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

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into decimals.

What is a percentage as a fraction?

A percentage can be written as a fraction by placing it over 100 and simplifying. For example, 20% = 20/100 = 1/5.


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 personalized 1-1 lessons check out Preply.com.

Math Is Fun covers math topics including decimals, fractions, data, money, algebra, and calculus. Courses are designed for students from Kindergarten to Grade 12.



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