1/3 × 3 14: Understanding the Calculation
In this article, we will explore the calculation of 1/3 × 3 14 and break it down step by step.
What is 1/3 × 3 14?
The expression 1/3 × 3 14 may seem complex, but it's actually a simple multiplication problem. To evaluate this expression, we need to follow the order of operations (PEMDAS) and multiply 1/3 by 3 14.
Multiplying 1/3 by 3 14
To multiply 1/3 by 3 14, we need to convert the mixed number 3 14 to an improper fraction. A mixed number is a combination of a whole number and a fraction.
Converting 3 14 to an Improper Fraction
To convert 3 14 to an improper fraction, we multiply the denominator (4) by the whole number (3) and add the numerator (1):
(3 × 4) + 1 = 12 + 1 = 13
So, 3 14 is equal to 13/4.
Multiplying 1/3 by 13/4
Now, we can multiply 1/3 by 13/4:
(1/3) × (13/4) = 13/12
Simplifying the Fraction
We can simplify the fraction 13/12 by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 1. The simplified fraction remains the same:
13/12
Conclusion
In conclusion, the calculation 1/3 × 3 14 is equal to 13/12. By breaking down the mixed number 3 14 into an improper fraction and following the order of operations, we can evaluate complex expressions with ease.
