What is 0.10125 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 0.10125 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: 0.10125 as a fraction equals 10125/100000 or 81/800

Here’s a clear and detailed solution for converting 0.10125 to a fraction:

Step 1:

First, we write 0.10125 as:
0.10125/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.10125/1
  =  
0.10125 x 100000/1 x 100000
  =  
10125/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 10125 and 100000.
The factors of 10125 are: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 675 1125 2025 3375 10125
The factors of 100000 are: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000
The GCF of 10125 and 100000 is: 125.

Step 4:

To simplify the fraction, we divide both the numerator and denominator by the GCF.
10125/100000
  =  
10125 ÷ 125/100000 ÷ 125
  =  
81/800


Great job! We've successfully converted 0.10125 into a fraction.

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