Understanding the Fraction 400/3
To express the fraction 400/3 in its simplest form, we start by analyzing both the numerator and the denominator.
Step 1: Identify the Numerator and Denominator
- Numerator: 400
- Denominator: 3
Step 2: Check for Common Factors
- We need to find any common factors between 400 and 3.
- The number 3 is a prime number, meaning its only factors are 1 and 3.
- The number 400 can be factored as 2 × 2 × 2 × 5 × 5 (which equals 20 x 20).

Step 3: Simplifying the Fraction
- Since 3 has no common factors with 400, the fraction 400/3 is already in its simplest form.
- Therefore, we cannot reduce it further.

Step 4: Convert to Mixed Number (Optional)
- If you wish to convert 400/3 to a mixed number:
- Divide 400 by 3, which equals 133 with a remainder of 1.
- This means 400/3 can also be expressed as 133 1/3.
Final Result
- The simplest form of 400/3 is 400/3.
- As a mixed number, it can be represented as 133 1/3.
This clear breakdown allows you to understand how to express the fraction 400/3 in both its simplest form and as a mixed number.