What is 1.09824 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.09824 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 1.09824 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.

1.09824 as a fraction equals 109824/100000 or 3432/3125

Now let's break down the steps for converting 1.09824 into a fraction.

Step 1:

First, we express 1.09824 as a fraction by placing it over 1:

1.09824/1

Step 2:

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

1.09824 x 100000/1 x 100000

109824/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 109824 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 109824 are: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 286 312 352 384 416 429 528 572 624 704 768 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 2816 3328 3432 4224 4576 4992 6864 8448 9152 9984 13728 18304 27456 36608 54912 109824
The factors of 100000 are: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000
The GCF of 109824 and 100000 is: 32

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 32 in this case.

109824 ÷ 32/100000 ÷ 32

3432/3125

Great Work! We've just determined that 1.09824 as a fraction equals 109824/100000 or 3432/3125 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 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 decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents ¹/₂.

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 percentage as a fraction?

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 bar?

A fraction bar is the horizontal line that separates the numerator and denominator in a fraction. It also represents division. For example, in ²/₄, the fraction bar means 2 divided by 4.

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

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