What is -0.63 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal -0.63 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 -0.63 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.

-0.63 as a fraction equals -63/100 or 63/-100

Now let's break down the steps for converting -0.63 into a fraction.

Step 1:

First, we express -0.63 as a fraction by placing it over 1:
-0.63/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
-0.63 x 100/1 x 100
  =  
-63/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for -63 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of -63 are:
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of -63 and 100 is: -1

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 -1 in this case.
-63 ÷ -1/100 ÷ -1
  =  
63/-100


Great Work! We've just determined that -0.63 as a fraction equals -63/100 or 63/-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 mixed numbers?

A mixed number is made up of a whole number and a proper 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 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 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 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 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 personalized 1-1 lessons check out Preply.com.

For fun game based learning try Prodigy Math.

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.



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