What is 3.8895 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.8895 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 3.8895 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.

3.8895 as a fraction equals 38895/10000 or 7779/2000

Now let's break down the steps for converting 3.8895 into a fraction.

Step 1:

First, we express 3.8895 as a fraction by placing it over 1:
3.8895/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
3.8895 x 10000/1 x 10000
  =  
38895/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 38895 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 38895 are: 1 3 5 15 2593 7779 12965 38895
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
The GCF of 38895 and 10000 is: 5

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 5 in this case.
38895 ÷ 5/10000 ÷ 5
  =  
7779/2000


Great Work! We've just determined that 3.8895 as a fraction equals 38895/10000 or 7779/2000 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 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 imperial fractions?

Yards, feet, and inches are all part of the Imperial measurement system, so a 1/4 of an inch is described as an imperial 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 is a median?

The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.

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 personalized 1-1 lessons check out Preply.com.

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

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



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