What is 1.46608 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.46608 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 1.46608 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.

1.46608 as a fraction equals 146608/100000 or 9163/6250

Now let's break down the steps for converting 1.46608 into a fraction.

Step 1:

First, we express 1.46608 as a fraction by placing it over 1:
1.46608/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.46608 x 100000/1 x 100000
  =  
146608/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 146608 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 146608 are: 1 2 4 7 8 11 14 16 17 22 28 34 44 49 56 68 77 88 98 112 119 136 154 176 187 196 238 272 308 374 392 476 539 616 748 784 833 952 1078 1232 1309 1496 1666 1904 2156 2618 2992 3332 4312 5236 6664 8624 9163 10472 13328 18326 20944 36652 73304 146608
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 146608 and 100000 is: 16

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 16 in this case.
146608 ÷ 16/100000 ÷ 16
  =  
9163/6250


Great Work! We've just determined that 1.46608 as a fraction equals 146608/100000 or 9163/6250 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 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 are irrational numbers?

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 2).

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 are rounding decimals?

Rounding decimals means adjusting a number to a given place value. For example, rounding 3.186 to two decimal places gives 3.19. Note that last digit which is 6 is closer to 10 than 1 so the digit before it which is 8 move up a value to 9.

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.

For a structured learning approach with video lessons try the Khan Academy.

Math Is Fun covers math topics including decimals, fractions, data, money, algebra, and calculus. Courses are designed for students from Kindergarten to Grade 12.

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.



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