What is 1.65 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.65 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 1.65 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.

1.65 as a fraction equals 165/100 or 33/20

Now let's break down the steps for converting 1.65 into a fraction.

Step 1:

First, we express 1.65 as a fraction by placing it over 1:
1.65/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.65 x 100/1 x 100
  =  
165/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for 165 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 165 are: 1 3 5 11 15 33 55 165
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of 165 and 100 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.
165 ÷ 5/100 ÷ 5
  =  
33/20


Great Work! We've just determined that 1.65 as a fraction equals 165/100 or 33/20 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.

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 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 is a proportion?

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 shows a proportional relationship.

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..

What is a percentage as a fraction?

A percentage can be written as a fraction by placing it over 100 and simplifying. For example, 20% = 20/100 = 1/5.


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 early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.

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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