What is 1.08072 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.08072 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 1.08072 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.

1.08072 as a fraction equals 108072/100000 or 13509/12500

Now let's break down the steps for converting 1.08072 into a fraction.

Step 1:

First, we express 1.08072 as a fraction by placing it over 1:
1.08072/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.08072 x 100000/1 x 100000
  =  
108072/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 108072 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 108072 are: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 79 114 152 158 171 228 237 316 342 456 474 632 684 711 948 1368 1422 1501 1896 2844 3002 4503 5688 6004 9006 12008 13509 18012 27018 36024 54036 108072
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 108072 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.
108072 ÷ 8/100000 ÷ 8
  =  
13509/12500


Great Work! We've just determined that 1.08072 as a fraction equals 108072/100000 or 13509/12500 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 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 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 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 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.


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.

For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.

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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