Question
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Tutor-Verified Answer
Answer
\(2\frac{1}{2}\) or \(2.5\)
Solution
Calculate or simplify the expression \( 7-4\frac{1}{2} \).
Calculate the value by following steps:
- step0: Calculate:
\(7-4\frac{1}{2}\)
- step1: Convert the expressions:
\(7-\frac{9}{2}\)
- step2: Reduce fractions to a common denominator:
\(\frac{7\times 2}{2}-\frac{9}{2}\)
- step3: Transform the expression:
\(\frac{7\times 2-9}{2}\)
- step4: Multiply the numbers:
\(\frac{14-9}{2}\)
- step5: Subtract the numbers:
\(\frac{5}{2}\)
The result of \(7-4\frac{1}{2}\) is \(2\frac{1}{2}\) or \(2.5\).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Mind Expander
To solve \( 7 - 4 \frac{1}{2} \), first, convert the mixed number into an improper fraction. \( 4 \frac{1}{2} \) equals \( \frac{9}{2} \). Subtracting this from 7 can be tricky, so convert 7 into a fraction: \( 7 = \frac{14}{2} \). Now, you have \( \frac{14}{2} - \frac{9}{2} = \frac{5}{2} \), which is equal to \( 2 \frac{1}{2} \) or 2.5. Next time you’re dealing with mixed numbers and whole numbers, remember to convert them into improper fractions before performing your operations. It makes your calculations smoother and reduces the chances of mistakes, especially in more complex equations!
