What is 0.31236 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.31236 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 0.31236 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.

0.31236 as a fraction equals 31236/100000 or 7809/25000

Now let's break down the steps for converting 0.31236 into a fraction.

Step 1:

First, we express 0.31236 as a fraction by placing it over 1:
0.31236/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.31236 x 100000/1 x 100000
  =  
31236/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 31236 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 31236 are: 1 2 3 4 6 12 19 38 57 76 114 137 228 274 411 548 822 1644 2603 5206 7809 10412 15618 31236
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 31236 and 100000 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.
31236 ÷ 4/100000 ÷ 4
  =  
7809/25000


Great Work! We've just determined that 0.31236 as a fraction equals 31236/100000 or 7809/25000 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 help deepen your understanding of basic math concepts.

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 an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

What is a median?

The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.

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.

What is a percentage as a fraction?

A percentage can be written as a fraction by placing it over 100 and simplifying. For example, 20% = 20/100 = 1/5.


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.

Use Study.com for an entertaining video lesson approach.

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

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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