How many inches is 5 5 1/2?
Understand the Problem
The question is asking for the conversion of the mixed number 5 5/2 into inches in decimal or whole number form.
Answer
7.5
Answer for screen readers
7.5
Steps to Solve
- Convert the mixed number to an improper fraction
To convert the mixed number ( 5 \frac{5}{2} ) to an improper fraction, multiply the whole number (5) by the denominator (2) and then add the numerator (5).
This results in: $$ 5 \cdot 2 + 5 = 10 + 5 = 15 $$ So, the improper fraction is: $$ \frac{15}{2} $$
- Convert the improper fraction to a decimal
Now, divide the numerator (15) by the denominator (2) to get the decimal form.
This division gives: $$ 15 \div 2 = 7.5 $$
- State the final answer
The mixed number ( 5 \frac{5}{2} ) equals 7.5 inches in decimal form.
7.5
More Information
The conversion of mixed numbers to decimals is a practical skill, especially in fields like cooking and carpentry, where precise measurements are crucial.
Tips
- A common mistake is forgetting to convert the whole number part of the mixed number correctly. Always ensure to calculate ( \text{whole number} \times \text{denominator} + \text{numerator} ) accurately.
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