What is -0.36 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal -0.36 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 -0.36 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.

-0.36 as a fraction equals -36/100 or -9/25

Now let's break down the steps for converting -0.36 into a fraction.

Step 1:

First, we express -0.36 as a fraction by placing it over 1:
-0.36/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
-0.36 x 100/1 x 100
  =  
-36/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for -36 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of -36 are:
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of -36 and 100 is: 4

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 4 in this case.
-36 ÷ 4/100 ÷ 4
  =  
-9/25


Great Work! We've just determined that -0.36 as a fraction equals -36/100 or -9/25 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 simple or reduced fractions?

Simple or reduced fractions are fractions whose top number (numerator) and bottom number (denominator) cannot be any smaller, while still being a whole number. That is to say, the number can no longer be divided by any number other than one while still being a whole number. 1/3 is a good example of a fully reduced fraction.

What does the Greatest Common Factor (GCF) mean?

The greatest common factor is also referred to as the highest common factor. In math, this refers to the greatest common divisor of two or more whole numbers (also known as integers). In simple terms, this is the biggest number that can divide evenly into two or more numbers. For example, the GCF for 4 and 8 is 4.

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.

What is a terminating decimal?

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.35 and 3.5 are terminating decimals.

What are rounding decimals?

Rounding decimals means adjusting a number to a given place value. For example, rounding 3.186 to two decimal places gives 3.19. Note that last digit which is 6 is closer to 10 than 1 so the digit before it which is 8 move up a value to 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 a structured learning approach with video lessons try the Khan Academy.

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

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



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