What is 1.12056 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.12056 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 1.12056 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.

1.12056 as a fraction equals 112056/100000 or 14007/12500

Now let's break down the steps for converting 1.12056 into a fraction.

Step 1:

First, we express 1.12056 as a fraction by placing it over 1:
1.12056/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.12056 x 100000/1 x 100000
  =  
112056/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 112056 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 112056 are: 1 2 3 4 6 7 8 12 14 21 23 24 28 29 42 46 56 58 69 84 87 92 116 138 161 168 174 184 203 232 276 322 348 406 483 552 609 644 667 696 812 966 1218 1288 1334 1624 1932 2001 2436 2668 3864 4002 4669 4872 5336 8004 9338 14007 16008 18676 28014 37352 56028 112056
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 112056 and 100000 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.
112056 ÷ 8/100000 ÷ 8
  =  
14007/12500


Great Work! We've just determined that 1.12056 as a fraction equals 112056/100000 or 14007/12500 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 mixed numbers?

A mixed number is made up of a whole number and a proper 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 irrational numbers?

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 2).

What is a square root?

The square root of a number is a value when multiplied by itself, gives that number. For example, the square root of 9 is 3 because 3 × 3 = 9.

What is an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4 Reference our decimal to fraction converter page for a detailed breakdown..


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.

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

Math Is Fun covers math topics including decimals, fractions, data, money, algebra, and calculus. Courses are designed for students from Kindergarten to Grade 12.

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



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