What is 1.08528 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.08528 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 1.08528 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.

1.08528 as a fraction equals 108528/100000 or 6783/6250

Now let's break down the steps for converting 1.08528 into a fraction.

Step 1:

First, we express 1.08528 as a fraction by placing it over 1:
1.08528/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.08528 x 100000/1 x 100000
  =  
108528/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 108528 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 108528 are: 1 2 3 4 6 7 8 12 14 16 17 19 21 24 28 34 38 42 48 51 56 57 68 76 84 102 112 114 119 133 136 152 168 204 228 238 266 272 304 323 336 357 399 408 456 476 532 646 714 798 816 912 952 969 1064 1292 1428 1596 1904 1938 2128 2261 2584 2856 3192 3876 4522 5168 5712 6384 6783 7752 9044 13566 15504 18088 27132 36176 54264 108528
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 108528 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.
108528 ÷ 16/100000 ÷ 16
  =  
6783/6250


Great Work! We've just determined that 1.08528 as a fraction equals 108528/100000 or 6783/6250 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 are simple or reduced fractions?

Simple or reduced fractions are fractions whose top number (numerator) and bottom number (denominator) cannot be any smaller, while still being a whole number. That is to say, the number can no longer be divided by any number other than one while still being a whole number. 1/3 is a good example of a fully reduced fraction.

What are prime numbers?

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17 and so on.

What are rational numbers?

A rational number is any number that can be expressed as the fraction of two integers, such as 3/4, -5/2, or 0.75.

What is a ratio?

A ratio is a relationship between two numbers that shows how many times one value is contained within another. For example, the ratio 3:1 means there are 3 parts of one quantity for every 1 part of another.

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 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.

For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.

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

Cliff Notes is tailored for independent study for the SAT, ACT, GMAT, GRE, and AP exams. It's a free service.



© www.asafraction.net