What is 0.85731 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.85731 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 0.85731 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.

0.85731 as a fraction equals 85731/100000

Now let's break down the steps for converting 0.85731 into a fraction.

Step 1:

First, we express 0.85731 as a fraction by placing it over 1:
0.85731/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.85731 x 100000/1 x 100000
  =  
85731/100000


Great Work! We've just determined that 0.85731 as a fraction equals 85731/100000 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 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.

Why is there a need to convert decimals to fractions anyway?

The U.S. is one of a few countries worldwide that still uses the Imperial system of measurement, which is a fractional measurement system, where items are measured in feet, inches, pounds, ounces, yards, and so on. The majority of the rest of the world uses the metric system, which is a decimal measurement system, where items are measured in cm, meters, grams, kilos, and so on.

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 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 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 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.


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.

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

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

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.



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