What is 8.275 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 8.275 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 8.275 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.

8.275 as a fraction equals 8275/1000 or 331/40

Now let's break down the steps for converting 8.275 into a fraction.

Step 1:

First, we express 8.275 as a fraction by placing it over 1:
8.275/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
8.275 x 1000/1 x 1000
  =  
8275/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 8275 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 8275 are: 1 5 25 331 1655 8275
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 8275 and 1000 is: 25

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 25 in this case.
8275 ÷ 25/1000 ÷ 25
  =  
331/40


Great Work! We've just determined that 8.275 as a fraction equals 8275/1000 or 331/40 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 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 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 an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

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..


Educational math links

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For personalized 1-1 lessons check out Preply.com.

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