Calculator Magic: Unraveling the Mystery of 1/3 x 64 x 16
The Problem Statement
Have you ever wondered what happens when you multiply a fraction with two whole numbers? Let's dive into the world of mathematics and explore the result of 1/3 x 64 x 16.
Breaking Down the Calculation
To evaluate this expression, we need to follow the order of operations (PEMDAS):
- Multiply 1/3 by 64
- Multiply the result by 16
Let's start by multiplying 1/3 by 64:
1/3 × 64 = ?
To multiply a fraction by a whole number, we can multiply the numerator (1) by the whole number, and then keep the same denominator (3):
1 × 64 = 64 ÷ 3 = 21 1/3
So, 1/3 × 64 = 21 1/3.
The Final Calculation
Now, let's multiply 21 1/3 by 16:
21 1/3 × 16 = ?
To multiply a mixed number by a whole number, we need to convert the mixed number to an improper fraction:
21 1/3 = (64 + 1) / 3 = 65 / 3
Now, multiply the fraction by 16:
(65 / 3) × 16 = (65 × 16) / 3 = 1040 / 3 = 346 2/3
Therefore, 1/3 x 64 x 16 = 346 2/3.
Conclusion
In conclusion, the result of 1/3 x 64 x 16 is 346 2/3. By breaking down the calculation into smaller steps and following the order of operations, we can unlock the secrets of even the most complex mathematical expressions.
