This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Answer
-\frac{31
To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. Keep the negative sign for the entire fraction.
Step 1: Identify the whole number, numerator, and denominator. For , the whole number is 7, the numerator is 3, and the denominator is 4. The fraction is negative.
Step 2: Convert the magnitude of the mixed number to an improper fraction.
Step 3: Apply the negative sign. Since the original mixed number was negative, the improper fraction will also be negative.
The improper fraction is .
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To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.