What is 0.335 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.335 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 0.335 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.

0.335 as a fraction equals 335/1000 or 67/200

Now let's break down the steps for converting 0.335 into a fraction.

Step 1:

First, we express 0.335 as a fraction by placing it over 1:
0.335/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.335 x 1000/1 x 1000
  =  
335/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 335 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 335 are: 1 5 67 335
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 335 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.
335 ÷ 5/1000 ÷ 5
  =  
67/200


Great Work! We've just determined that 0.335 as a fraction equals 335/1000 or 67/200 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 simple or reduced fractions?

Simple or reduced fractions are fractions whose top number (numerator) and bottom number (denominator) cannot be any smaller, while still being a whole number. That is to say, the number can no longer be divided by any number other than one while still being a whole number. 1/3 is a good example of a fully reduced fraction.

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 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 proportion?

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 shows a proportional relationship.

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.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4 Reference our decimal to fraction converter page for a detailed breakdown..


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.

For fun game based learning try Prodigy Math.

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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