What is 1.38888888 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.38888888 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 1.38888888 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.

1.38888888 as a fraction equals 138888888/100000000 or 17361111/12500000

Now let's break down the steps for converting 1.38888888 into a fraction.

Step 1:

First, we express 1.38888888 as a fraction by placing it over 1:
1.38888888/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.38888888 x 100000000/1 x 100000000
  =  
138888888/100000000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 138888888 and 100000000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 138888888 are: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 431 463 696 862 926 1293 1389 1724 1852 2586 2778 3448 3704 5172 5556 10344 11112 12499 13427 24998 26854 37497 40281 49996 53708 74994 80562 99992 107416 149988 161124 199553 299976 322248 399106 598659 798212 1197318 1596424 2394636 4789272 5787037 11574074 17361111 23148148 34722222 46296296 69444444 138888888
The factors of 100000000 are: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 78125 80000 100000 125000 156250 160000 200000 250000 312500 390625 400000 500000 625000 781250 800000 1000000 1250000 1562500 2000000 2500000 3125000 4000000 5000000 6250000 10000000 12500000 20000000 25000000 50000000 100000000
The GCF of 138888888 and 100000000 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.
138888888 ÷ 8/100000000 ÷ 8
  =  
17361111/12500000


Great Work! We've just determined that 1.38888888 as a fraction equals 138888888/100000000 or 17361111/12500000 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 are improper fractions?

Improper fractions are fractions where the numerator (the top number) is greater than or equal to the denominator (the bottom number). Example 3/2

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 the Least Common Multiple (LCM)?

The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 4 and 6 is 12.

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 an absolute value?

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


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.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

For early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.



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