What is 3.872 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.872 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 3.872 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.

3.872 as a fraction equals 3872/1000 or 484/125

Now let's break down the steps for converting 3.872 into a fraction.

Step 1:

First, we express 3.872 as a fraction by placing it over 1:
3.872/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
3.872 x 1000/1 x 1000
  =  
3872/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 3872 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 3872 are: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 3872 and 1000 is: 8

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 8 in this case.
3872 ÷ 8/1000 ÷ 8
  =  
484/125


Great Work! We've just determined that 3.872 as a fraction equals 3872/1000 or 484/125 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 are mixed numbers?

A mixed number is made up of a whole number and a proper fraction.

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 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.

What are rounding decimals?

Rounding decimals means adjusting a number to a given place value. For example, rounding 3.186 to two decimal places gives 3.19. Note that last digit which is 6 is closer to 10 than 1 so the digit before it which is 8 move up a value to 9.

What is a decimal as a percentage?

A decimal can be converted to a percentage by multiplying it by 100 and adding a percent sign. For example, 0.75 × 100 = 75%.

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 early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.

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

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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