What is 0.3792 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.3792 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 0.3792 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.

0.3792 as a fraction equals 3792/10000 or 237/625

Now let's break down the steps for converting 0.3792 into a fraction.

Step 1:

First, we express 0.3792 as a fraction by placing it over 1:
0.3792/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.3792 x 10000/1 x 10000
  =  
3792/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 3792 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 3792 are: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1896 3792
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 3792 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.
3792 ÷ 16/10000 ÷ 16
  =  
237/625


Great Work! We've just determined that 0.3792 as a fraction equals 3792/10000 or 237/625 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.

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A mixed number is made up of a whole number and a proper fraction.

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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 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 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.

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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 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 fun game based learning try Prodigy Math.

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

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.



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