What is 0.5137 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.5137 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 0.5137 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.

0.5137 as a fraction equals 5137/10000

Here’s a clear and detailed solution for converting 0.5137 to a fraction:

Step 1:

First, we write 0.5137 in fraction form:
0.5137/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.5137 x 10000/1 x 10000
  =  
5137/10000


Nice job! We've successfully determined that 0.5137 as a fraction equals 5137/10000 in its simplest form.

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Examples of converting decimals to fractions

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Frequently Asked math questions, Including decimals and fractions

Read the following section to deepen your understanding of basic math concepts.

What are proper fractions?

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

What are imperial fractions?

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

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 repeating decimal?

A repeating decimal is a decimal in which a digit or group of digits repeats infinitely. For example, 0.3333... (where 3 repeats forever) and 0.142857142857... (where 142857 repeats) are repeating decimals.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4. Check out our decimals page for a detailed breakdown..

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, 3/4 = 0.75 × 100 = 75%.



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