What is 1.23552 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.23552 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 1.23552 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.

1.23552 as a fraction equals 123552/100000 or 3861/3125

Now let's break down the steps for converting 1.23552 into a fraction.

Step 1:

First, we express 1.23552 as a fraction by placing it over 1:
1.23552/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.23552 x 100000/1 x 100000
  =  
123552/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 123552 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 123552 are: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 66 72 78 88 96 99 104 108 117 132 143 144 156 176 198 208 216 234 264 286 288 297 312 351 352 396 416 429 432 468 528 572 594 624 702 792 858 864 936 1056 1144 1188 1248 1287 1404 1584 1716 1872 2288 2376 2574 2808 3168 3432 3744 3861 4576 4752 5148 5616 6864 7722 9504 10296 11232 13728 15444 20592 30888 41184 61776 123552
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 123552 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.
123552 ÷ 32/100000 ÷ 32
  =  
3861/3125


Great Work! We've just determined that 1.23552 as a fraction equals 123552/100000 or 3861/3125 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 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.

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 are rounding decimals?

Rounding decimals means adjusting a number to a given place value. For example, rounding 3.186 to two decimal places gives 3.19. Note that last digit which is 6 is closer to 10 than 1 so the digit before it which is 8 move up a value to 9.

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 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.

Use Study.com for an entertaining video lesson approach.

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

Cliff Notes is tailored for independent study for the SAT, ACT, GMAT, GRE, and AP exams. It's a free service.



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