What is 3.048 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.048 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 3.048 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.

3.048 as a fraction equals 3048/1000 or 381/125

Now let's break down the steps for converting 3.048 into a fraction.

Step 1:

First, we express 3.048 as a fraction by placing it over 1:
3.048/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
3.048 x 1000/1 x 1000
  =  
3048/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 3048 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 3048 are: 1 2 3 4 6 8 12 24 127 254 381 508 762 1016 1524 3048
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 3048 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.
3048 ÷ 8/1000 ÷ 8
  =  
381/125


Great Work! We've just determined that 3.048 as a fraction equals 3048/1000 or 381/125 in its simplest form.

Convert any decimal to a fraction

Discover how different decimal numbers can be expressed as fractions.

Enter any decimal value:



Frequently asked math questions, including decimals and fractions

Read the following section to help deepen your understanding of basic math concepts.

What are irrational numbers?

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 2).

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 is a terminating decimal?

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.35 and 3.5 are terminating 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 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%.


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.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

For a self-study courses for Algebra. We recommend Purple Math.

For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.



© www.asafraction.net