What is 0.755 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.755 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 0.755 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.

0.755 as a fraction equals 755/1000 or 151/200

Now let's break down the steps for converting 0.755 into a fraction.

Step 1:

First, we express 0.755 as a fraction by placing it over 1:
0.755/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.755 x 1000/1 x 1000
  =  
755/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 755 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 755 are: 1 5 151 755
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 755 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.
755 ÷ 5/1000 ÷ 5
  =  
151/200


Great Work! We've just determined that 0.755 as a fraction equals 755/1000 or 151/200 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 mixed numbers?

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

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 imperial fractions?

Yards, feet, and inches are all part of the Imperial measurement system, so a 1/4 of an inch is described as an imperial fraction.

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 is an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

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.


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.

Use Study.com for an entertaining video lesson approach.

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

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.



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