What is 0.1372 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.1372 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 0.1372 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.

0.1372 as a fraction equals 1372/10000 or 343/2500

Now let's break down the steps for converting 0.1372 into a fraction.

Step 1:

First, we express 0.1372 as a fraction by placing it over 1:
0.1372/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.1372 x 10000/1 x 10000
  =  
1372/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 1372 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 1372 are: 1 2 4 7 14 28 49 98 196 343 686 1372
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 1372 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.
1372 ÷ 4/10000 ÷ 4
  =  
343/2500


Great Work! We've just determined that 0.1372 as a fraction equals 1372/10000 or 343/2500 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 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 decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents 1/2.

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 decimal place?

A decimal place refers to the position of a digit to the right of the decimal point. For example, in 3.141, the digit 1 is in the thousandths place.

What is a fraction as a percentage?

A fraction can be converted to a percentage by dividing the numerator by the denominator and multiplying by 100. For example, 3/6 = 1/2 = 0.50 × 100 = 50%.


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 personalized 1-1 lessons check out Preply.com.

Desmos.com has a focus on equation, functions and visual graphs.



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