To convert the mixed number (1 \frac{3}{2} 5) into fraction form, we need to clarify what this mixed number represents. It combines whole numbers with fractional parts, and in this case, it looks like it consists of the whole number 1, the fraction (\frac{3}{2}), and the whole number 5. So let's break it down step by step. 🥳
Understanding Mixed Numbers
What is a Mixed Number?
A mixed number combines a whole number and a proper fraction. In our case, (1) is the whole number, (\frac{3}{2}) is the fraction, and (5) represents another whole number.
Breaking Down the Components
- Whole Number: (1) and (5)
- Fraction: (\frac{3}{2})
Steps to Convert Mixed Numbers to Improper Fractions
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Convert the Whole Numbers to Fractions:
- Whole numbers can be expressed as fractions by placing them over (1).
- So, (1 = \frac{1}{1}) and (5 = \frac{5}{1}).
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Find a Common Denominator:
- The fractions need to have the same denominator in order to be added. The denominator for (\frac{3}{2}) is (2). To add (1) and (5), we need to express them in terms of the same denominator.
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Convert (1) and (5):
- To convert (1) to a fraction with a denominator of (2):
- (1 = \frac{1 \cdot 2}{1 \cdot 2} = \frac{2}{2})
- To convert (5) to a fraction with a denominator of (2):
- (5 = \frac{5 \cdot 2}{1 \cdot 2} = \frac{10}{2})
- To convert (1) to a fraction with a denominator of (2):
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Combine the Fractions: Now that we have:
- Whole Number (1): (\frac{2}{2})
- Fraction (\frac{3}{2})
- Whole Number (5): (\frac{10}{2})
We can combine them: [ \frac{2}{2} + \frac{3}{2} + \frac{10}{2} = \frac{2 + 3 + 10}{2} = \frac{15}{2} ]
Final Result
Thus, the mixed number (1 \frac{3}{2} 5) converts to the improper fraction (\frac{15}{2}).
Important Note:
Make sure each step is clear and follow the calculations carefully to avoid mistakes.
Conclusion
Now you have successfully converted the mixed number (1 \frac{3}{2} 5) into the improper fraction (\frac{15}{2}). Using these steps, you can convert any mixed number to fraction form effortlessly! 🎉