What is -3.25 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal -3.25 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 -3.25 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.

-3.25 as a fraction equals -325/100 or 13/-4

Here’s a clear and detailed solution for converting -3.25 to a fraction:

Step 1:

First, we write -3.25 in fraction form:
-3.25/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
-3.25 x 100/1 x 100
  =  
-325/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for -325 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of -325 are:
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of -325 and 100 is: -25.

Step 4:

To simplify the fraction, we divide both the numerator and denominator by their greatest common factor (GCF), which is -25 in this case.
-325 ÷ -25/100 ÷ -25
  =  
13/-4


Nice job! We've successfully determined that -3.25 as a fraction equals -325/100 or 13/-4 in its simplest form.

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Frequently Asked math questions, Including decimals and fractions

Read the following section to deepen your understanding of basic math concepts.

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 exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

What is a ratio?

A ratio is a relationship between two numbers that shows how many times one value is contained within another. For example, the ratio 3:1 means there are 3 parts of one quantity for every 1 part of another.

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 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 3/4, the fraction bar means 3 divided by 4.



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