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Subtract : 48^(@) 23' 36'' From 73^(@) ...

Subtract : `48^(@) 23' 36'' From 73^(@) 15' 18''`

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To solve the problem of subtracting `48° 23' 36''` from `73° 15' 18''`, we will follow these steps: ### Step 1: Write down the numbers We have: - Minuend (the number from which we subtract): `73° 15' 18''` - Subtrahend (the number we subtract): `48° 23' 36''` ### Step 2: Align the numbers for subtraction ``` 73° 15' 18'' - 48° 23' 36'' ``` ### Step 3: Start with the seconds We need to subtract the seconds first: - We have `18''` and we need to subtract `36''`. Since `18''` is less than `36''`, we need to borrow 1 minute from the minutes. ### Step 4: Borrow from minutes When we borrow 1 minute (which is `60 seconds`), we convert it to seconds and add it to `18''`: - `60'' + 18'' = 78''` - Now, we reduce the minutes by 1, so `15'` becomes `14'`. Now the numbers look like this: ``` 73° 14' 78'' - 48° 23' 36'' ``` ### Step 5: Subtract the seconds Now we can subtract the seconds: - `78'' - 36'' = 42''` ### Step 6: Move to minutes Next, we need to subtract the minutes: - We have `14'` and we need to subtract `23'`. Since `14'` is less than `23'`, we need to borrow 1 degree from the degrees. ### Step 7: Borrow from degrees When we borrow 1 degree, we convert it to minutes (which is `60 minutes`) and add it to `14'`: - `60' + 14' = 74'` - Now, we reduce the degrees by 1, so `73°` becomes `72°`. Now the numbers look like this: ``` 72° 74' - 48° 23' ``` ### Step 8: Subtract the minutes Now we can subtract the minutes: - `74' - 23' = 51'` ### Step 9: Move to degrees Finally, we subtract the degrees: - `72° - 48° = 24°` ### Step 10: Combine the results Now we can combine our results: - The final answer is `24° 51' 42''`. ### Final Answer: The result of subtracting `48° 23' 36''` from `73° 15' 18''` is `24° 51' 42''`. ---
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