What is 1.50165 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.50165 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 1.50165 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.

1.50165 as a fraction equals 150165/100000 or 30033/20000

Now let's break down the steps for converting 1.50165 into a fraction.

Step 1:

First, we express 1.50165 as a fraction by placing it over 1:
1.50165/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.50165 x 100000/1 x 100000
  =  
150165/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 150165 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 150165 are: 1 3 5 9 15 45 47 71 141 213 235 355 423 639 705 1065 2115 3195 3337 10011 16685 30033 50055 150165
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 150165 and 100000 is: 5

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 5 in this case.
150165 ÷ 5/100000 ÷ 5
  =  
30033/20000


Great Work! We've just determined that 1.50165 as a fraction equals 150165/100000 or 30033/20000 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 whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

What are mixed numbers?

A mixed number is made up of a whole number and a proper fraction.

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 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 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.

What is a fraction as a percentage?

A fraction can be converted to a percentage by dividing the numerator by the denominator and multiplying by 100. For example, 3/6 = 1/2 = 0.50 × 100 = 50%.


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.

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

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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