What Is 3/4 Multiplied By 2? Simple Calculation Guide
Table of Contents :
To find out what 3/4 multiplied by 2 is, we can break down the process step-by-step. This simple calculation guide will provide clarity on multiplying fractions and whole numbers, and give you a solid foundation for handling similar calculations in the future.
Understanding Fractions
Fractions represent parts of a whole. The fraction 3/4 consists of:
- Numerator (3): the number of parts you have.
- Denominator (4): the total number of equal parts that make up a whole.
In this case, 3 out of 4 parts are being considered.
Multiplication of a Fraction by a Whole Number
When multiplying a fraction by a whole number, the process is straightforward:
- Multiply the numerator of the fraction by the whole number.
- Keep the denominator the same.
Step-by-Step Calculation of 3/4 × 2
Let’s perform the multiplication of 3/4 by 2 in a detailed manner:
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Identify the Fraction and the Whole Number:
- Fraction: 3/4
- Whole number: 2
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Multiply the Numerator by the Whole Number:
- 3 (numerator) × 2 (whole number) = 6
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Keep the Denominator the Same:
- The denominator remains 4.
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Construct the New Fraction:
- So, you get 6/4.
Simplifying the Fraction
Now that we have 6/4, it’s essential to simplify it if possible. Simplifying a fraction involves dividing both the numerator and the denominator by their greatest common divisor (GCD).
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Find the GCD of 6 and 4:
- The GCD of 6 and 4 is 2.
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Divide the Numerator and Denominator by the GCD:
- 6 ÷ 2 = 3
- 4 ÷ 2 = 2
This gives us the simplified fraction of 3/2.
Converting to a Mixed Number
If you prefer to express this as a mixed number:
- 3/2 means you have 1 whole and 1/2 left over. So, it can also be written as 1 1/2.
Conclusion
In conclusion, when you multiply 3/4 by 2, the result is 3/2 or 1 1/2. This method of multiplying fractions is applicable to any similar calculations, making it a valuable skill in both everyday math and more complex mathematics.
Key Takeaways
- Multiplying a fraction by a whole number involves simple multiplication of the numerator.
- Always simplify your answer if possible to make it easier to understand.
- Fractions can often be converted into mixed numbers for better comprehension.
By following these steps, you can confidently tackle similar multiplication problems involving fractions in the future. Happy calculating!