What is 1.20384 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.20384 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 1.20384 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.

1.20384 as a fraction equals 120384/100000 or 3762/3125

Now let's break down the steps for converting 1.20384 into a fraction.

Step 1:

First, we express 1.20384 as a fraction by placing it over 1:
1.20384/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.20384 x 100000/1 x 100000
  =  
120384/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 120384 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 120384 are: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 64 66 72 76 88 96 99 114 132 144 152 171 176 192 198 209 228 264 288 304 342 352 396 418 456 528 576 608 627 684 704 792 836 912 1056 1216 1254 1368 1584 1672 1824 1881 2112 2508 2736 3168 3344 3648 3762 5016 5472 6336 6688 7524 10032 10944 13376 15048 20064 30096 40128 60192 120384
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 120384 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.
120384 ÷ 32/100000 ÷ 32
  =  
3762/3125


Great Work! We've just determined that 1.20384 as a fraction equals 120384/100000 or 3762/3125 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 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 a decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents 1/2.

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 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%.

What is a fraction bar?

A fraction bar is the horizontal line that separates the numerator and denominator in a fraction. It also represents division. For example, in 2/4, the fraction bar means 2 divided by 4.


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.

For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.



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