What is the sum of 8½ and 1¾
Answer (1)
Step-by-step explanation:The question is: What is the sum of 8½ and 1¾? Convert mixed numbers to improper fractions: - 8\frac{1}{2} = \frac{(8 \times 2) + 1}{2} = \frac{16 + 1}{2} = \frac{17}{2} - 1\frac{3}{4} = \frac{(1 \times 4) + 3}{4} = \frac{4 + 3}{4} = \frac{7}{4} Find a common denominator: - The least common denominator for 2 and 4 is 4. Convert fractions to have the common denominator: - \frac{17}{2} = \frac{17 \times 2}{2 \times 2} = \frac{34}{4} - \frac{7}{4} (already in the correct form) Add the fractions: - \frac{34}{4} + \frac{7}{4} = \frac{34 + 7}{4} = \frac{41}{4} Convert the improper fraction back to a mixed number: - \frac{41}{4} = 10\frac{1}{4} Therefore, the sum of 8\frac{1}{2} and 1\frac{3}{4} is 10\frac{1}{4}.
