What is 0.446 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.446 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 0.446 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.

0.446 as a fraction equals 446/1000 or 223/500

Now let's break down the steps for converting 0.446 into a fraction.

Step 1:

First, we express 0.446 as a fraction by placing it over 1:
0.446/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.446 x 1000/1 x 1000
  =  
446/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 446 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 446 are: 1 2 223 446
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 446 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.
446 ÷ 2/1000 ÷ 2
  =  
223/500


Great Work! We've just determined that 0.446 as a fraction equals 446/1000 or 223/500 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 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 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 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 mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4 Reference our decimal to fraction converter page for a detailed breakdown..

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.


Educational math links

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For personalized 1-1 lessons check out Preply.com.

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