What is 1.31938 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.31938 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 1.31938 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.

1.31938 as a fraction equals 131938/100000 or 65969/50000

Now let's break down the steps for converting 1.31938 into a fraction.

Step 1:

First, we express 1.31938 as a fraction by placing it over 1:
1.31938/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.31938 x 100000/1 x 100000
  =  
131938/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 131938 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 131938 are: 1 2 41 82 1609 3218 65969 131938
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 131938 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.
131938 ÷ 2/100000 ÷ 2
  =  
65969/50000


Great Work! We've just determined that 1.31938 as a fraction equals 131938/100000 or 65969/50000 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 mixed numbers?

A mixed number is made up of a whole number and a proper fraction.

What are imperial fractions?

Yards, feet, and inches are all part of the Imperial measurement system, so a 1/4 of an inch is described as an imperial 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 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 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.

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.


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.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

For a structured learning approach with video lessons try the Khan Academy.

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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