What is .10 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal .10 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 .10 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.

.10 as a fraction equals 10/100 or 1/10

Now let's break down the steps for converting .10 into a fraction.

Step 1:

First, we express .10 as a fraction by placing it over 1:
.10/1

Step 2:

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

Step 3:

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

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 10 in this case.
10 ÷ 10/100 ÷ 10
  =  
1/10


Great Work! We've just determined that .10 as a fraction equals 10/100 or 1/10 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 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 are irrational numbers?

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 2).

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 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.

For fun game based learning try Prodigy Math.

Desmos.com has a focus on equation, functions and visual graphs.

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



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