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 prime numbers?

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17 and so on.

What is a percentage?

A percentage is a number as a fraction of 100. It is denoted using the '%' symbol. For example, 20% means 20 out of 100.

What is a median?

The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.

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 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.

For a structured learning approach with video lessons try the Khan Academy.

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



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