What is 0.298 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.298 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 0.298 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.

0.298 as a fraction equals 298/1000 or 149/500

Now let's break down the steps for converting 0.298 into a fraction.

Step 1:

First, we express 0.298 as a fraction by placing it over 1:
0.298/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.298 x 1000/1 x 1000
  =  
298/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 298 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 298 are: 1 2 149 298
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 298 and 1000 is: 2

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 2 in this case.
298 ÷ 2/1000 ÷ 2
  =  
149/500


Great Work! We've just determined that 0.298 as a fraction equals 298/1000 or 149/500 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 percentage?

A percentage is a number as a fraction of 100. It is denoted using the '%' symbol. For example, 20% means 20 out of 100.

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

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



© www.asafraction.net