0. Repeating 3 as a Fraction
What is 0. Repeating 3?
- repeating 3, also known as 0.333..., is a non-terminating repeating decimal. It is a decimal that has an infinite number of 3's after the decimal point. This type of decimal is also known as a periodic decimal or a recurring decimal.
Converting 0. Repeating 3 to a Fraction
To convert 0. repeating 3 to a fraction, we can use the following steps:
Step 1: Let x = 0. Repeating 3
Let x = 0.333...
Step 2: Multiply x by 10
10x = 3.333...
Step 3: Subtract x from 10x
10x - x = 3.333... - 0.333...
Step 4: Simplify the Equation
9x = 3
Step 5: Solve for x
x = 3/9
x = 1/3
So, 0. Repeating 3 is Equal to 1/3
In conclusion, 0. repeating 3 is equal to the fraction 1/3. This can be useful in a variety of mathematical applications, such as algebra, geometry, and calculus.
