What is 3.4845 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.4845 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 3.4845 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.

3.4845 as a fraction equals 34845/10000 or 6969/2000

Now let's break down the steps for converting 3.4845 into a fraction.

Step 1:

First, we express 3.4845 as a fraction by placing it over 1:
3.4845/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
3.4845 x 10000/1 x 10000
  =  
34845/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 34845 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 34845 are: 1 3 5 15 23 69 101 115 303 345 505 1515 2323 6969 11615 34845
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 34845 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.
34845 ÷ 5/10000 ÷ 5
  =  
6969/2000


Great Work! We've just determined that 3.4845 as a fraction equals 34845/10000 or 6969/2000 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 composite numbers?

Composite numbers are numbers that are greater than 1 and have more than two factors. For example, 6 is a composite number because it has factors 1, 2,3 and 6.

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 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 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.


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.

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.

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.



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