What is 1.44528 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.44528 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 1.44528 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.

1.44528 as a fraction equals 144528/100000 or 9033/6250

Now let's break down the steps for converting 1.44528 into a fraction.

Step 1:

First, we express 1.44528 as a fraction by placing it over 1:
1.44528/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.44528 x 100000/1 x 100000
  =  
144528/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 144528 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 144528 are: 1 2 3 4 6 8 12 16 24 48 3011 6022 9033 12044 18066 24088 36132 48176 72264 144528
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 144528 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.
144528 ÷ 16/100000 ÷ 16
  =  
9033/6250


Great Work! We've just determined that 1.44528 as a fraction equals 144528/100000 or 9033/6250 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 does the Greatest Common Factor (GCF) mean?

The greatest common factor is also referred to as the highest common factor. In math, this refers to the greatest common divisor of two or more whole numbers (also known as integers). In simple terms, this is the biggest number that can divide evenly into two or more numbers. For example, the GCF for 4 and 8 is 4.

What are rational numbers?

A rational number is any number that can be expressed as the fraction of two integers, such as 3/4, -5/2, or 0.75.

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 a terminating decimal?

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.35 and 3.5 are terminating decimals.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4 Reference our decimal to fraction converter page for a detailed breakdown..


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 Planet has customized math courses for high school students.

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



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