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5//7 "of" 567+2/5 "of" 485=?...

`5//7 "of" 567+2/5 "of" 485=?`

A

525

B

652

C

599

D

585

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem `5/7 of 567 + 2/5 of 485`, we will follow these steps: ### Step 1: Calculate \( \frac{5}{7} \) of 567 To find \( \frac{5}{7} \) of 567, we multiply 567 by \( \frac{5}{7} \). \[ \frac{5}{7} \times 567 = \frac{5 \times 567}{7} \] ### Step 2: Simplify the multiplication First, we can divide 567 by 7: \[ 567 \div 7 = 81 \] Now, multiply by 5: \[ 5 \times 81 = 405 \] So, \( \frac{5}{7} \) of 567 is 405. ### Step 3: Calculate \( \frac{2}{5} \) of 485 Now, we find \( \frac{2}{5} \) of 485 by multiplying 485 by \( \frac{2}{5} \): \[ \frac{2}{5} \times 485 = \frac{2 \times 485}{5} \] ### Step 4: Simplify the multiplication First, divide 485 by 5: \[ 485 \div 5 = 97 \] Now, multiply by 2: \[ 2 \times 97 = 194 \] So, \( \frac{2}{5} \) of 485 is 194. ### Step 5: Add the two results together Now we add the results from Step 2 and Step 4: \[ 405 + 194 = 599 \] ### Final Answer Thus, the final answer is: \[ \boxed{599} \] ---
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