What is -0.625 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal -0.625 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 -0.625 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.

-0.625 as a fraction equals -625/1000 or -5/8

Now let's break down the steps for converting -0.625 into a fraction.

Step 1:

First, we express -0.625 as a fraction by placing it over 1:
-0.625/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
-0.625 x 1000/1 x 1000
  =  
-625/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for -625 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of -625 are:
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of -625 and 1000 is: 125

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 125 in this case.
-625 ÷ 125/1000 ÷ 125
  =  
-5/8


Great Work! We've just determined that -0.625 as a fraction equals -625/1000 or -5/8 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 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 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 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 decimal place?

A decimal place refers to the position of a digit to the right of the decimal point. For example, in 3.141, the digit 1 is in the thousandths place.

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 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 2/4, the fraction bar means 2 divided by 4.


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.

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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