Points to Remember:
- The core operation is multiplication of a fraction by a whole number.
- We need to convert the whole number into a fraction for easier calculation.
- Simplification is crucial to obtain the final answer in its simplest form.
Introduction:
This question requires a factual approach, focusing on the mathematical operation of multiplying a fraction (3/5) by a whole number (35). Multiplication of fractions is a fundamental arithmetic operation with wide applications in various fields, from calculating proportions to solving complex engineering problems. Understanding this operation is crucial for basic numeracy.
Body:
1. Converting the Whole Number to a Fraction:
To multiply fractions, it's easiest to express both numbers as fractions. We can represent 35 as the fraction 35/1.
2. Performing the Multiplication:
Now we multiply the numerators (top numbers) together and the denominators (bottom numbers) together:
(3/5) * (35/1) = (3 * 35) / (5 * 1) = 105 / 5
3. Simplifying the Result:
The resulting fraction (105/5) can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 5:
105 / 5 = 21
Therefore, 3/5 multiplied by 35 equals 21.
Conclusion:
In summary, multiplying the fraction 3/5 by the whole number 35 involves converting the whole number into a fraction, performing the multiplication of numerators and denominators, and then simplifying the resulting fraction to its lowest terms. The final answer is 21. This simple calculation demonstrates a fundamental mathematical principle with broad applicability. Continued practice with such fundamental operations is essential for building a strong foundation in mathematics and problem-solving skills. This fosters a holistic approach to learning and contributes to overall intellectual development.