What is 0.67 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.67 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 0.67 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.

0.67 as a fraction equals 67/100

Now let's break down the steps for converting 0.67 into a fraction.

Step 1:

First, we express 0.67 as a fraction by placing it over 1:
0.67/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.67 x 100/1 x 100
  =  
67/100


Great Work! We've just determined that 0.67 as a fraction equals 67/100 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 whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

What are mixed numbers?

A mixed number is made up of a whole number and a proper fraction.

What does the Greatest Common Factor (GCF) mean?

The greatest common factor is also referred to as the highest common factor. In math, this refers to the greatest common divisor of two or more whole numbers (also known as integers). In simple terms, this is the biggest number that can divide evenly into two or more numbers. For example, the GCF for 4 and 8 is 4.

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 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 ratio?

A ratio is a relationship between two numbers that shows how many times one value is contained within another. For example, the ratio 3:1 means there are 3 parts of one quantity for every 1 part of another.


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 personalized 1-1 lessons check out Preply.com.

For early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.

For a self-study courses for Algebra. We recommend Purple Math.



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