What is 1.73888 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.73888 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 1.73888 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.

1.73888 as a fraction equals 173888/100000 or 5434/3125

Now let's break down the steps for converting 1.73888 into a fraction.

Step 1:

First, we express 1.73888 as a fraction by placing it over 1:
1.73888/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.73888 x 100000/1 x 100000
  =  
173888/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 173888 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 173888 are: 1 2 4 8 11 13 16 19 22 26 32 38 44 52 64 76 88 104 143 152 176 208 209 247 286 304 352 416 418 494 572 608 704 832 836 988 1144 1216 1672 1976 2288 2717 3344 3952 4576 5434 6688 7904 9152 10868 13376 15808 21736 43472 86944 173888
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 173888 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.
173888 ÷ 32/100000 ÷ 32
  =  
5434/3125


Great Work! We've just determined that 1.73888 as a fraction equals 173888/100000 or 5434/3125 in its simplest form.

Convert any decimal to a fraction

Discover how different decimal numbers can be expressed as fractions.

Enter any decimal value:



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 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 are composite numbers?

Composite numbers are numbers that are greater than 1 and have more than two factors. For example, 6 is a composite number because it has factors 1, 2,3 and 6.

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 proportion?

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 shows a proportional relationship.


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 fun game based learning try Prodigy Math.

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

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.



© www.asafraction.net