What is 1.79928 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.79928 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 1.79928 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.

1.79928 as a fraction equals 179928/100000 or 22491/12500

Now let's break down the steps for converting 1.79928 into a fraction.

Step 1:

First, we express 1.79928 as a fraction by placing it over 1:
1.79928/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.79928 x 100000/1 x 100000
  =  
179928/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 179928 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 179928 are: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 49 51 54 56 63 68 72 84 98 102 108 119 126 136 147 153 168 189 196 204 216 238 252 294 306 357 378 392 408 441 459 476 504 588 612 714 756 833 882 918 952 1071 1176 1224 1323 1428 1512 1666 1764 1836 2142 2499 2646 2856 3213 3332 3528 3672 4284 4998 5292 6426 6664 7497 8568 9996 10584 12852 14994 19992 22491 25704 29988 44982 59976 89964 179928
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 179928 and 100000 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.
179928 ÷ 8/100000 ÷ 8
  =  
22491/12500


Great Work! We've just determined that 1.79928 as a fraction equals 179928/100000 or 22491/12500 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 exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

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.

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%.

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

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



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