What is 1.4500 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.4500 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 1.4500 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.

1.4500 as a fraction equals 14500/10000 or 29/20

Now let's break down the steps for converting 1.4500 into a fraction.

Step 1:

First, we express 1.4500 as a fraction by placing it over 1:
1.4500/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.4500 x 10000/1 x 10000
  =  
14500/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 14500 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 14500 are: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 250 290 500 580 725 1450 2900 3625 7250 14500
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
The GCF of 14500 and 10000 is: 500

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 500 in this case.
14500 ÷ 500/10000 ÷ 500
  =  
29/20


Great Work! We've just determined that 1.4500 as a fraction equals 14500/10000 or 29/20 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 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

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 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 percentage?

A percentage is a number as a fraction of 100. It is denoted using the '%' symbol. For example, 20% means 20 out of 100.

What is a ratio?

A ratio is a relationship between two numbers that shows how many times one value is contained within another. For example, the ratio 3:1 means there are 3 parts of one quantity for every 1 part of another.

What is a repeating decimal?

A repeating decimal is a decimal in which a digit or group of digits repeats infinitely. For example, 0.3333... (where 3 repeats forever) and 0.142857142857... (where 142857 repeats) are repeating decimals.


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.

Desmos.com has a focus on equation, functions and visual graphs.

Math Planet has customized math courses for high school students.

Cliff Notes is tailored for independent study for the SAT, ACT, GMAT, GRE, and AP exams. It's a free service.



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