What is 1.41138 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.41138 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 1.41138 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.

1.41138 as a fraction equals 141138/100000 or 70569/50000

Now let's break down the steps for converting 1.41138 into a fraction.

Step 1:

First, we express 1.41138 as a fraction by placing it over 1:
1.41138/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.41138 x 100000/1 x 100000
  =  
141138/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 141138 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 141138 are: 1 2 3 6 9 18 7841 15682 23523 47046 70569 141138
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 141138 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.
141138 ÷ 2/100000 ÷ 2
  =  
70569/50000


Great Work! We've just determined that 1.41138 as a fraction equals 141138/100000 or 70569/50000 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 proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3

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 a ratio?

A ratio is a relationship between two numbers that shows how many times one value is contained within another. For example, the ratio 3:1 means there are 3 parts of one quantity for every 1 part of another.

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.

What is a fraction bar?

A fraction bar is the horizontal line that separates the numerator and denominator in a fraction. It also represents division. For example, in 2/4, the fraction bar means 2 divided by 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 personalized 1-1 lessons check out Preply.com.

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.



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