What is 1.19484 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.19484 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 1.19484 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.

1.19484 as a fraction equals 119484/100000 or 29871/25000

Now let's break down the steps for converting 1.19484 into a fraction.

Step 1:

First, we express 1.19484 as a fraction by placing it over 1:
1.19484/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.19484 x 100000/1 x 100000
  =  
119484/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 119484 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 119484 are: 1 2 3 4 6 9 12 18 36 3319 6638 9957 13276 19914 29871 39828 59742 119484
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 119484 and 100000 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.
119484 ÷ 4/100000 ÷ 4
  =  
29871/25000


Great Work! We've just determined that 1.19484 as a fraction equals 119484/100000 or 29871/25000 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 whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

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 absolute value?

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

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 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.


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

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



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