What is 0.4672 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.4672 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 0.4672 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.

0.4672 as a fraction equals 4672/10000 or 292/625

Now let's break down the steps for converting 0.4672 into a fraction.

Step 1:

First, we express 0.4672 as a fraction by placing it over 1:
0.4672/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.4672 x 10000/1 x 10000
  =  
4672/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 4672 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 4672 are: 1 2 4 8 16 32 64 73 146 292 584 1168 2336 4672
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
The GCF of 4672 and 10000 is: 16

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 16 in this case.
4672 ÷ 16/10000 ÷ 16
  =  
292/625


Great Work! We've just determined that 0.4672 as a fraction equals 4672/10000 or 292/625 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 proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3

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 composite numbers?

Composite numbers are numbers that are greater than 1 and have more than two factors. For example, 6 is a composite number because it has factors 1, 2,3 and 6.

What is a proportion?

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 shows a proportional relationship.

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 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.

For a structured learning approach with video lessons try the Khan Academy.

Desmos.com has a focus on equation, functions and visual graphs.

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



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