What is 0.492 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.492 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 0.492 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.

0.492 as a fraction equals 492/1000 or 123/250

Now let's break down the steps for converting 0.492 into a fraction.

Step 1:

First, we express 0.492 as a fraction by placing it over 1:
0.492/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.492 x 1000/1 x 1000
  =  
492/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 492 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 492 are: 1 2 3 4 6 12 41 82 123 164 246 492
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 492 and 1000 is: 4

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 4 in this case.
492 ÷ 4/1000 ÷ 4
  =  
123/250


Great Work! We've just determined that 0.492 as a fraction equals 492/1000 or 123/250 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 whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

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 an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

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 percentage as a fraction?

A percentage can be written as a fraction by placing it over 100 and simplifying. For example, 20% = 20/100 = 1/5.

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 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.



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