What is 0.0984 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.0984 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 0.0984 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.

0.0984 as a fraction equals 984/10000 or 123/1250

Now let's break down the steps for converting 0.0984 into a fraction.

Step 1:

First, we express 0.0984 as a fraction by placing it over 1:

0.0984/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.

0.0984 x 10000/1 x 10000

984/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 984 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 984 are: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984
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 984 and 10000 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.

984 ÷ 8/10000 ÷ 8

123/1250

Great Work! We've just determined that 0.0984 as a fraction equals 984/10000 or 123/1250 in its simplest form.

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Examples of converting decimals to fractions

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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.

Why is there a need to convert decimals to fractions anyway?

The U.S. is one of a few countries worldwide that still uses the Imperial system of measurement, which is a fractional measurement system, where items are measured in feet, inches, pounds, ounces, yards, and so on. The majority of the rest of the world uses the metric system, which is a decimal measurement system, where items are measured in cm, meters, grams, kilos, and so on.

What are rational numbers?

A rational number is any number that can be expressed as the fraction of two integers, such as ³/₄, ^-5/₂, or 0.75.

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 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.

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, ³/₄ = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into decimals.

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.

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

For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.