What is 0.57072 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.57072 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 0.57072 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.

0.57072 as a fraction equals 57072/100000 or 3567/6250

Now let's break down the steps for converting 0.57072 into a fraction.

Step 1:

First, we express 0.57072 as a fraction by placing it over 1:
0.57072/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.57072 x 100000/1 x 100000
  =  
57072/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 57072 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 57072 are: 1 2 3 4 6 8 12 16 24 29 41 48 58 82 87 116 123 164 174 232 246 328 348 464 492 656 696 984 1189 1392 1968 2378 3567 4756 7134 9512 14268 19024 28536 57072
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 57072 and 100000 is: 16

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 16 in this case.
57072 ÷ 16/100000 ÷ 16
  =  
3567/6250


Great Work! We've just determined that 0.57072 as a fraction equals 57072/100000 or 3567/6250 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 is a percentage?

A percentage is a number as a fraction of 100. It is denoted using the '%' symbol. For example, 20% means 20 out of 100.

What is a square root?

The square root of a number is a value when multiplied by itself, gives that number. For example, the square root of 9 is 3 because 3 × 3 = 9.

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 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.

Desmos.com has a focus on equation, functions and visual graphs.

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and 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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