What is 0.602 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.602 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 0.602 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.

0.602 as a fraction equals 602/1000 or 301/500

Now let's break down the steps for converting 0.602 into a fraction.

Step 1:

First, we express 0.602 as a fraction by placing it over 1:
0.602/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.602 x 1000/1 x 1000
  =  
602/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 602 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 602 are: 1 2 7 14 43 86 301 602
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 602 and 1000 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.
602 ÷ 2/1000 ÷ 2
  =  
301/500


Great Work! We've just determined that 0.602 as a fraction equals 602/1000 or 301/500 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.

Why is there a need to convert decimals to fractions anyway?

The U.S. is one of a few countries worldwide that still uses the Imperial system of measurement, which is a fractional measurement system, where items are measured in feet, inches, pounds, ounces, yards, and so on. The majority of the rest of the world uses the metric system, which is a decimal measurement system, where items are measured in cm, meters, grams, kilos, and so on.

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 median?

The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.

What is a percentage as a fraction?

A percentage can be written as a fraction by placing it over 100 and simplifying. For example, 20% = 20/100 = 1/5.

What is a decimal as a percentage?

A decimal can be converted to a percentage by multiplying it by 100 and adding a percent sign. For example, 0.75 × 100 = 75%.


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 Planet has customized math courses for high school students.

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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