What is 1.74624 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.74624 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 1.74624 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.

1.74624 as a fraction equals 174624/100000 or 5457/3125

Now let's break down the steps for converting 1.74624 into a fraction.

Step 1:

First, we express 1.74624 as a fraction by placing it over 1:
1.74624/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.74624 x 100000/1 x 100000
  =  
174624/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 174624 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 174624 are: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 107 136 204 214 272 321 408 428 544 642 816 856 1284 1632 1712 1819 2568 3424 3638 5136 5457 7276 10272 10914 14552 21828 29104 43656 58208 87312 174624
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 174624 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.
174624 ÷ 32/100000 ÷ 32
  =  
5457/3125


Great Work! We've just determined that 1.74624 as a fraction equals 174624/100000 or 5457/3125 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 proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3

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

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 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 mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 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 structured learning approach with video lessons try the Khan Academy.

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



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