Converting 0.005 to a Fraction in Simplest Form
What is 0.005 as a Fraction?
The decimal number 0.005 can be converted to a fraction in simplest form. But before we do that, let's understand what a fraction is.
A fraction is a way to express a part of a whole as a numerator (the top number) divided by a denominator (the bottom number). For example, 1/2 is a fraction where 1 is the numerator and 2 is the denominator.
Converting 0.005 to a Fraction
To convert 0.005 to a fraction, we need to find the equivalent fraction that represents the same value. One way to do this is to divide 0.005 by 1, which is the same as multiplying it by 1/1.
Step 1: Divide 0.005 by 1
0.005 ÷ 1 = 0.005
Step 2: Multiply by 1000 (since there are 3 decimal places)
0.005 × 1000 = 5
Step 3: Write the fraction
5/1000
Simplifying the Fraction
The fraction 5/1000 can be simplified further by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 5 and 1000 is 5.
Simplified Fraction:
1/200
Therefore, 0.005 as a fraction in simplest form is 1/200.
Example: Real-World Application
Suppose you are a chef and you need to add 0.005 grams of salt to a recipe. Instead of using a decimal measurement, you can use the equivalent fraction 1/200 of a gram of salt. This can be more convenient and accurate when working with small quantities.
In conclusion, converting 0.005 to a fraction in simplest form is a simple process that involves dividing and simplifying the fraction. The result, 1/200, can be used in various real-world applications where fractional measurements are required.