What is 2.605 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 2.605 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 2.605 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.

2.605 as a fraction equals 2605/1000 or 521/200

Now let's break down the steps for converting 2.605 into a fraction.

Step 1:

First, we express 2.605 as a fraction by placing it over 1:
2.605/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
2.605 x 1000/1 x 1000
  =  
2605/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 2605 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 2605 are: 1 5 521 2605
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 2605 and 1000 is: 5

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 5 in this case.
2605 ÷ 5/1000 ÷ 5
  =  
521/200


Great Work! We've just determined that 2.605 as a fraction equals 2605/1000 or 521/200 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 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 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 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.

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.

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

For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.

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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