Multiply 3/5 by 35.

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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.

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