What is 1.09272 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.09272 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 1.09272 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.

1.09272 as a fraction equals 109272/100000 or 13659/12500

Now let's break down the steps for converting 1.09272 into a fraction.

Step 1:

First, we express 1.09272 as a fraction by placing it over 1:
1.09272/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.09272 x 100000/1 x 100000
  =  
109272/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 109272 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 109272 are: 1 2 3 4 6 8 12 24 29 58 87 116 157 174 232 314 348 471 628 696 942 1256 1884 3768 4553 9106 13659 18212 27318 36424 54636 109272
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 109272 and 100000 is: 8

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 8 in this case.
109272 ÷ 8/100000 ÷ 8
  =  
13659/12500


Great Work! We've just determined that 1.09272 as a fraction equals 109272/100000 or 13659/12500 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 mixed numbers?

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

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 is the Least Common Multiple (LCM)?

The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 4 and 6 is 12.

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 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 decimal as a percentage?

A decimal can be converted to a percentage by multiplying it by 100 and adding a percent sign. For example, 0.75 × 100 = 75%.


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.

Use Study.com for an entertaining video lesson approach.

For a structured learning approach with video lessons try the Khan Academy.

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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