.83333 as a Fraction in Simplest Form
Ever wondered what the decimal number .83333 represents as a fraction in its simplest form? In this article, we'll dive into the world of decimals and fractions to find out.
What is .83333?
The decimal number .83333 is a recurring decimal, meaning that it has an infinite number of 3s after the decimal point. This type of decimal is also known as a non-terminating, repeating decimal.
Converting .83333 to a Fraction
To convert .83333 to a fraction, we need to find the equivalent fraction that represents the same value. One way to do this is to use the following formula:
x = .83333
Multiply both sides by 10 to get:
10x = 8.3333
Now, multiply both sides by 10 again to get:
100x = 83.333
Subtract the first equation from the second equation to eliminate the decimal point:
90x = 75
Divide both sides by 90 to solve for x:
x = 75/90
Simplifying the Fraction
The fraction 75/90 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 75 and 90 is 15. Therefore, we can simplify the fraction as follows:
x = (75 ÷ 15) / (90 ÷ 15) x = 5/6
Answer
So, the decimal number .83333 represents the fraction 5/6 in its simplest form.
In conclusion, converting .83333 to a fraction in its simplest form requires a few simple steps. By applying the formula and simplifying the fraction, we can reveal the underlying fraction that represents the same value.
