What is 0.90032 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.90032 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 0.90032 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.

0.90032 as a fraction equals 90032/100000 or 5627/6250

Now let's break down the steps for converting 0.90032 into a fraction.

Step 1:

First, we express 0.90032 as a fraction by placing it over 1:
0.90032/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.90032 x 100000/1 x 100000
  =  
90032/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 90032 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 90032 are: 1 2 4 8 16 17 34 68 136 272 331 662 1324 2648 5296 5627 11254 22508 45016 90032
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 90032 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.
90032 ÷ 16/100000 ÷ 16
  =  
5627/6250


Great Work! We've just determined that 0.90032 as a fraction equals 90032/100000 or 5627/6250 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 are proper fractions?

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

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 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 is an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.


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.

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

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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