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Add or subtract: 53/(12)-7/(12)...

Add or subtract:
`53/(12)-7/(12)`

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The correct Answer is:
To solve the problem \( \frac{53}{12} - \frac{7}{12} \), we can follow these steps: ### Step 1: Identify the fractions We have two fractions: - The first fraction is \( \frac{53}{12} \) - The second fraction is \( \frac{7}{12} \) ### Step 2: Check the denominators Both fractions have the same denominator, which is 12. This means we can subtract the numerators directly. **Hint:** When the denominators are the same, you can subtract the numerators directly. ### Step 3: Subtract the numerators Now, we subtract the numerators: \[ 53 - 7 = 46 \] ### Step 4: Write the result as a fraction Now, we can write the result as a fraction: \[ \frac{46}{12} \] ### Step 5: Simplify the fraction Next, we need to simplify \( \frac{46}{12} \). We can find the greatest common divisor (GCD) of 46 and 12, which is 2. Now, we divide both the numerator and the denominator by 2: \[ \frac{46 \div 2}{12 \div 2} = \frac{23}{6} \] ### Step 6: Convert to a mixed number (if necessary) Since \( \frac{23}{6} \) is an improper fraction, we can convert it to a mixed number. We divide 23 by 6: - 6 goes into 23 three times (since \( 6 \times 3 = 18 \)). - The remainder is \( 23 - 18 = 5 \). So, we can write \( \frac{23}{6} \) as: \[ 3 \frac{5}{6} \] ### Final Answer The final answer is: \[ 3 \frac{5}{6} \] ---
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