What is 0.795 as a fraction?

Numbers can be expressed in multiple formats, including percentages, decimals, and fractions. Each of these representations serves a unique purpose in mathematics, and being able to convert between them is an essential skill. Understanding these conversions is particularly important in real-life applications, such as measuring ingredients in cooking, calculating discounts while shopping, or understanding probability in statistics.

Typically, the ability to switch between decimals and fractions is introduced in fifth-grade mathematics, where students learn about place values, division, and the concept of the Greatest Common Factor (GCF). These fundamental concepts allow for simplifying fractions, ensuring that numerical expressions remain accurate and easy to interpret.

In this article, we will guide you step by step through the process of converting the decimal 0.795 into a fraction. We will start by understanding how decimals represent parts of a whole, then break down the steps to rewrite them as fractions. Finally, we will simplify the fraction by identifying and applying the Greatest Common Factor, ensuring the result is in its simplest form.

By the end of this guide, you will have a strong understanding of decimal-to-fraction conversions and be able to apply this knowledge to various mathematical problems. Let's begin!

Answer: 0.795 as a fraction equals 795/1000 or 159/200

Here’s a clear and detailed solution for converting 0.795 to a fraction:

Step 1:

First, we write 0.795 as:
0.795/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.795/1
  =  
0.795 x 1000/1 x 1000
  =  
795/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 795 and 1000.
The factors of 795 are: 1 3 5 15 53 159 265 795
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 795 and 1000 is: 5.

Step 4:

To simplify the fraction, we divide both the numerator and denominator by the GCF.
795/1000
  =  
795 ÷ 5/1000 ÷ 5
  =  
159/200


Great job! We've successfully converted 0.795 into a fraction.

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