.065 as a Fraction in Simplest Form
To convert the decimal number .065 to a fraction in simplest form, we need to follow a few simple steps.
Step 1: Convert the Decimal to a Fraction
First, we can convert the decimal number .065 to a fraction by dividing the decimal by 1:
.065 ÷ 1 = .065/1
Step 2: Find the Greatest Common Divisor (GCD)
Next, we need to find the greatest common divisor (GCD) of the numerator (65) and the denominator (100). To do this, we can list the factors of each number:
Factors of 65: 1, 5, 13, 65 Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
The GCD of 65 and 100 is 5. Therefore, we can divide both the numerator and the denominator by 5 to simplify the fraction:
.065/1 = 13/200
Step 3: Simplify the Fraction
The fraction 13/200 is already in its simplest form. Therefore, we can write:
.065 = 13/200
In conclusion, the decimal number .065 is equivalent to the fraction 13/200 in its simplest form.
