What is 0.85248 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.85248 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 0.85248 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.

0.85248 as a fraction equals 85248/100000 or 2664/3125

Now let's break down the steps for converting 0.85248 into a fraction.

Step 1:

First, we express 0.85248 as a fraction by placing it over 1:
0.85248/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.85248 x 100000/1 x 100000
  =  
85248/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 85248 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 85248 are: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 576 592 666 768 888 1152 1184 1332 1776 2304 2368 2664 3552 4736 5328 7104 9472 10656 14208 21312 28416 42624 85248
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 85248 and 100000 is: 32

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 32 in this case.
85248 ÷ 32/100000 ÷ 32
  =  
2664/3125


Great Work! We've just determined that 0.85248 as a fraction equals 85248/100000 or 2664/3125 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 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 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 mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.

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.

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.

For fun game based learning try Prodigy Math.

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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