What is 0.456 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.456 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 0.456 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.

0.456 as a fraction equals 456/1000 or 57/125

Now let's break down the steps for converting 0.456 into a fraction.

Step 1:

First, we express 0.456 as a fraction by placing it over 1:
0.456/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.456 x 1000/1 x 1000
  =  
456/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 456 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 456 are: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 456 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.
456 ÷ 8/1000 ÷ 8
  =  
57/125


Great Work! We've just determined that 0.456 as a fraction equals 456/1000 or 57/125 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 imperial fractions?

Yards, feet, and inches are all part of the Imperial measurement system, so a 1/4 of an inch is described as an imperial fraction.

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 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.

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 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 personalized 1-1 lessons check out Preply.com.

For fun game based learning try Prodigy Math.

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.



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