What is 0.5130 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.5130 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 0.5130 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.

0.5130 as a fraction equals 5130/10000 or 513/1000

Now let's break down the steps for converting 0.5130 into a fraction.

Step 1:

First, we express 0.5130 as a fraction by placing it over 1:
0.5130/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.5130 x 10000/1 x 10000
  =  
5130/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 5130 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 5130 are: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130
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 5130 and 10000 is: 10

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 10 in this case.
5130 ÷ 10/10000 ÷ 10
  =  
513/1000


Great Work! We've just determined that 0.5130 as a fraction equals 5130/10000 or 513/1000 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 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 are composite numbers?

Composite numbers are numbers that are greater than 1 and have more than two factors. For example, 6 is a composite number because it has factors 1, 2,3 and 6.

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 is a decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents 1/2.

What is an exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

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.


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

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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