What is 1.06272 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.06272 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 1.06272 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.

1.06272 as a fraction equals 106272/100000 or 3321/3125

Now let's break down the steps for converting 1.06272 into a fraction.

Step 1:

First, we express 1.06272 as a fraction by placing it over 1:
1.06272/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.06272 x 100000/1 x 100000
  =  
106272/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 106272 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 106272 are: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 81 82 96 108 123 144 162 164 216 246 288 324 328 369 432 492 648 656 738 864 984 1107 1296 1312 1476 1968 2214 2592 2952 3321 3936 4428 5904 6642 8856 11808 13284 17712 26568 35424 53136 106272
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 106272 and 100000 is: 32

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 32 in this case.
106272 ÷ 32/100000 ÷ 32
  =  
3321/3125


Great Work! We've just determined that 1.06272 as a fraction equals 106272/100000 or 3321/3125 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 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 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 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 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 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 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.

For personalized 1-1 lessons check out Preply.com.

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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