What is 0.75 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.75 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 0.75 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.

0.75 as a fraction equals 75/100 or 3/4

Now let's break down the steps for converting 0.75 into a fraction.

Step 1:

First, we express 0.75 as a fraction by placing it over 1:
0.75/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.75 x 100/1 x 100
  =  
75/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for 75 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 75 are: 1 3 5 15 25 75
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of 75 and 100 is: 25

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 25 in this case.
75 ÷ 25/100 ÷ 25
  =  
3/4


Great Work! We've just determined that 0.75 as a fraction equals 75/100 or 3/4 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 are rational numbers?

A rational number is any number that can be expressed as the fraction of two integers, such as 3/4, -5/2, or 0.75.

What is a decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents 1/2.

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 fraction bar?

A fraction bar is the horizontal line that separates the numerator and denominator in a fraction. It also represents division. For example, in 2/4, the fraction bar means 2 divided by 4.


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 fun game based learning try Prodigy Math.

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

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



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