What is 6.58 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 6.58 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 6.58 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.

6.58 as a fraction equals 658/100 or 329/50

Now let's break down the steps for converting 6.58 into a fraction.

Step 1:

First, we express 6.58 as a fraction by placing it over 1:
6.58/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
6.58 x 100/1 x 100
  =  
658/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for 658 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 658 are: 1 2 7 14 47 94 329 658
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of 658 and 100 is: 2

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 2 in this case.
658 ÷ 2/100 ÷ 2
  =  
329/50


Great Work! We've just determined that 6.58 as a fraction equals 658/100 or 329/50 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 prime numbers?

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17 and so on.

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 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 fraction as a percentage?

A fraction can be converted to a percentage by dividing the numerator by the denominator and multiplying by 100. For example, 3/6 = 1/2 = 0.50 × 100 = 50%.


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.

Math Is Fun covers math topics including decimals, fractions, data, money, algebra, and calculus. Courses are designed for students from Kindergarten to Grade 12.

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.



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