What is 5.1625 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 5.1625 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 5.1625 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.

5.1625 as a fraction equals 51625/10000 or 413/80

Now let's break down the steps for converting 5.1625 into a fraction.

Step 1:

First, we express 5.1625 as a fraction by placing it over 1:
5.1625/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
5.1625 x 10000/1 x 10000
  =  
51625/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 51625 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 51625 are: 1 5 7 25 35 59 125 175 295 413 875 1475 2065 7375 10325 51625
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 51625 and 10000 is: 125

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 125 in this case.
51625 ÷ 125/10000 ÷ 125
  =  
413/80


Great Work! We've just determined that 5.1625 as a fraction equals 51625/10000 or 413/80 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 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 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 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.

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into 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.


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.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

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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