What is 0.85104 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.85104 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 0.85104 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.

0.85104 as a fraction equals 85104/100000 or 5319/6250

Now let's break down the steps for converting 0.85104 into a fraction.

Step 1:

First, we express 0.85104 as a fraction by placing it over 1:
0.85104/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.85104 x 100000/1 x 100000
  =  
85104/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 85104 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 85104 are: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 197 216 394 432 591 788 1182 1576 1773 2364 3152 3546 4728 5319 7092 9456 10638 14184 21276 28368 42552 85104
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 85104 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.
85104 ÷ 16/100000 ÷ 16
  =  
5319/6250


Great Work! We've just determined that 0.85104 as a fraction equals 85104/100000 or 5319/6250 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 the Least Common Multiple (LCM)?

The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 4 and 6 is 12.

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 repeating decimal?

A repeating decimal is a decimal in which a digit or group of digits repeats infinitely. For example, 0.3333... (where 3 repeats forever) and 0.142857142857... (where 142857 repeats) are repeating decimals.

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 fraction as a percentage?

A fraction can be converted to a percentage by dividing the numerator by the denominator and multiplying by 100. For example, 3/6 = 1/2 = 0.50 × 100 = 50%.


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 structured learning approach with video lessons try the Khan Academy.

For personalized 1-1 lessons check out Preply.com.

Math Planet has customized math courses for high school students.



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