What is 0.83472 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.83472 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 0.83472 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.

0.83472 as a fraction equals 83472/100000 or 5217/6250

Now let's break down the steps for converting 0.83472 into a fraction.

Step 1:

First, we express 0.83472 as a fraction by placing it over 1:
0.83472/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.83472 x 100000/1 x 100000
  =  
83472/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 83472 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 83472 are: 1 2 3 4 6 8 12 16 24 37 47 48 74 94 111 141 148 188 222 282 296 376 444 564 592 752 888 1128 1739 1776 2256 3478 5217 6956 10434 13912 20868 27824 41736 83472
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 83472 and 100000 is: 16

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 16 in this case.
83472 ÷ 16/100000 ÷ 16
  =  
5217/6250


Great Work! We've just determined that 0.83472 as a fraction equals 83472/100000 or 5217/6250 in its simplest form.

Convert any decimal to a fraction

Discover how different decimal numbers can be expressed as fractions.

Enter any decimal value:



Frequently asked math questions, including decimals and fractions

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

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 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.

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 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 fraction bar?

A fraction bar is the horizontal line that separates the numerator and denominator in a fraction. It also represents division. For example, in 2/4, the fraction bar means 2 divided by 4.


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 structured learning approach with video lessons try the Khan Academy.

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



© www.asafraction.net