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In Math / Senior High School | 2025-08-15

What is the answers of 5½ + 2 ½ -4½

Asked by Anonymous

Answer (1)

Answer:5½ + 2½ - 4½ = 3½Step-by-step explanation:Step-by-Step Solution  Step 1: Convert Mixed Numbers to Improper Fractions  Each mixed number is converted into an improper fraction. For \(5\frac{1}{2}\), the calculation is \(5\times 2+1=11\), so it becomes \(\frac{11}{2}\). For \(2\frac{1}{2}\), the calculation is \(2\times 2+1=5\), so it becomes \(\frac{5}{2}\). For \(4\frac{1}{2}\), the calculation is \(4\times 2+1=9\), so it becomes \(\frac{9}{2}\).  Step 2: Perform the Addition and Subtraction  The operation is performed with the improper fractions: \(\frac{11}{2}+\frac{5}{2}-\frac{9}{2}\). Since all fractions share a common denominator of \(2\), the numerators are added and subtracted directly: \(11+5-9=7\). The result is \(\frac{7}{2}\).  Step 3: Convert the Improper Fraction to a Mixed Number (Optional)  The improper fraction \(\frac{7}{2}\) can be converted back to a mixed number. Dividing \(7\) by \(2\) gives a quotient of \(3\) with a remainder of \(1\). Therefore, \(\frac{7}{2}\) is equal to \(3\frac{1}{2}\).  Final Answer  The final answer is \(\frac{7}{2}\) or \(3\frac{1}{2}\).

Answered by SFTMD72010 | 2025-08-15