What is 1.22388 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.22388 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 1.22388 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.

1.22388 as a fraction equals 122388/100000 or 30597/25000

Now let's break down the steps for converting 1.22388 into a fraction.

Step 1:

First, we express 1.22388 as a fraction by placing it over 1:
1.22388/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.22388 x 100000/1 x 100000
  =  
122388/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 122388 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 122388 are: 1 2 3 4 6 7 12 14 21 28 31 42 47 62 84 93 94 124 141 186 188 217 282 329 372 434 564 651 658 868 987 1302 1316 1457 1974 2604 2914 3948 4371 5828 8742 10199 17484 20398 30597 40796 61194 122388
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 122388 and 100000 is: 4

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 4 in this case.
122388 ÷ 4/100000 ÷ 4
  =  
30597/25000


Great Work! We've just determined that 1.22388 as a fraction equals 122388/100000 or 30597/25000 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.

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 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.

What is a decimal place?

A decimal place refers to the position of a digit to the right of the decimal point. For example, in 3.141, the digit 1 is in the thousandths place.

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%.

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 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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