What is -0.69 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal -0.69 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 -0.69 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.

-0.69 as a fraction equals -69/100 or 69/-100

Now let's break down the steps for converting -0.69 into a fraction.

Step 1:

First, we express -0.69 as a fraction by placing it over 1:
-0.69/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
-0.69 x 100/1 x 100
  =  
-69/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for -69 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of -69 are:
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of -69 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.
-69 ÷ -1/100 ÷ -1
  =  
69/-100


Great Work! We've just determined that -0.69 as a fraction equals -69/100 or 69/-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 is the Least Common Multiple (LCM)?

The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 4 and 6 is 12.

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 mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4 Reference our decimal to fraction converter page for a detailed breakdown..

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 UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.

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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