What is 0.7024 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.7024 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 0.7024 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.

0.7024 as a fraction equals 7024/10000 or 439/625

Now let's break down the steps for converting 0.7024 into a fraction.

Step 1:

First, we express 0.7024 as a fraction by placing it over 1:
0.7024/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.7024 x 10000/1 x 10000
  =  
7024/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 7024 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 7024 are: 1 2 4 8 16 439 878 1756 3512 7024
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
The GCF of 7024 and 10000 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.
7024 ÷ 16/10000 ÷ 16
  =  
439/625


Great Work! We've just determined that 0.7024 as a fraction equals 7024/10000 or 439/625 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 irrational numbers?

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 2).

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 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 proportion?

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 shows a proportional relationship.

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.


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.

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.

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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