Understanding the Calculation: 4/3 x 4
This simple mathematical expression, 4/3 x 4, is a combination of division and multiplication. It represents a calculation where we divide 4 by 3 and then multiply the result by 4.
Why is this Calculation Important?
This particular calculation might seem straightforward, but it's a fundamental concept in mathematics, and it's frequently encountered in various fields, including:
- Geometry: When calculating the volume of a sphere, you'll use the formula V = (4/3)πr³, where (4/3) represents a constant factor.
- Physics: Many physics formulas involve fractions and multiplications, like calculating the force of gravity, where the gravitational constant is represented as a fraction.
- Engineering: Structural engineering often involves calculations with fractions and multiplications to determine load capacity, stress, and strain.
How to Solve 4/3 x 4
There are a couple of ways to solve this:
Method 1: Using Fractions
- Divide 4 by 3: This gives us the fraction 4/3.
- Multiply the result by 4: (4/3) x 4 = 16/3
- Simplify the fraction (if needed): The fraction 16/3 can be represented as a mixed number (5 1/3) or a decimal (approximately 5.33).
Method 2: Using a Calculator
- Enter the numbers and operators in the calculator: 4 / 3 x 4.
- Press the equal (=) button to get the result.
Important Note:
It's crucial to understand the order of operations (PEMDAS/BODMAS) when performing calculations with multiple operators. In this case, division is performed before multiplication.
Examples:
- Calculating the volume of a sphere: If the radius of a sphere is 3 units, its volume would be V = (4/3)π(3³) = (4/3)π(27) = 36π cubic units.
- Calculating the force of gravity: Using Newton's Law of Universal Gravitation, the force of gravity between two objects can be calculated using the formula F = G(m₁m₂)/r². The constant G (gravitational constant) is represented as a fraction.
Conclusion
The calculation 4/3 x 4 is a simple example of a combined division and multiplication operation. Understanding this calculation is essential in various fields, including geometry, physics, and engineering. By following the order of operations, you can accurately solve this and similar calculations.