Question
c. Convert the following mixed number into an improper fraction. Simplify your answer and express it in lowest terms, if applicable. \( -7 \frac{1}{2}= \) Enter any negative signs in the numerator
Ask by Dickson Delgado. in Canada
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( -\frac{15}{2} \)
Solution
Calculate or simplify the expression \( -7\frac{1}{2} \).
Calculate the value by following steps:
- step0: Calculate:
\(-7\frac{1}{2}\)
- step1: Alternative Form:
\(-7.5\)
The mixed number \( -7 \frac{1}{2} \) is equivalent to the improper fraction \( -\frac{15}{2} \).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
To convert the mixed number \(-7 \frac{1}{2}\) into an improper fraction, first multiply the whole number part by the denominator: \(7 \times 2 = 14\). Then, add the numerator: \(14 + 1 = 15\). Since it's negative, we keep the negative sign in the numerator: \(-15\). The denominator remains \(2\), so we have \(-\frac{15}{2}\). Now, let's simplify! Fortunately, \(-\frac{15}{2}\) is already in its lowest terms, as 15 and 2 have no common factors. So, the answer is \(-\frac{15}{2}\).