What is 1.66125 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.66125 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 1.66125 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.

1.66125 as a fraction equals 166125/100000 or 1329/800

Now let's break down the steps for converting 1.66125 into a fraction.

Step 1:

First, we express 1.66125 as a fraction by placing it over 1:
1.66125/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.66125 x 100000/1 x 100000
  =  
166125/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 166125 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 166125 are: 1 3 5 15 25 75 125 375 443 1329 2215 6645 11075 33225 55375 166125
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 166125 and 100000 is: 125

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 125 in this case.
166125 ÷ 125/100000 ÷ 125
  =  
1329/800


Great Work! We've just determined that 1.66125 as a fraction equals 166125/100000 or 1329/800 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.

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

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The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.

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.

What is a decimal place?

A decimal place refers to the position of a digit to the right of the decimal point. For example, in 3.141, the digit 1 is in the thousandths place.

What are rounding decimals?

Rounding decimals means adjusting a number to a given place value. For example, rounding 3.186 to two decimal places gives 3.19. Note that last digit which is 6 is closer to 10 than 1 so the digit before it which is 8 move up a value to 9.

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 personalized 1-1 lessons check out Preply.com.

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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