QuestionAugust 24, 2025

Simplify and leave your answer as a proper fraction or a mixed number. 6(11)/(12)-1(3)/(4)=square

Simplify and leave your answer as a proper fraction or a mixed number. 6(11)/(12)-1(3)/(4)=square
Simplify and leave your answer as a proper fraction or a mixed number.
6(11)/(12)-1(3)/(4)=square

Solution
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Answer

5\frac{1}{6} Explanation 1. Convert Mixed Numbers to Improper Fractions 6\frac{11}{12} = \frac{83}{12} and 1\frac{3}{4} = \frac{7}{4}. 2. Find a Common Denominator The least common denominator of 12 and 4 is 12. Convert \frac{7}{4} to \frac{21}{12}. 3. Subtract the Fractions \frac{83}{12} - \frac{21}{12} = \frac{62}{12}. 4. Simplify the Fraction \frac{62}{12} = \frac{31}{6}. 5. Convert to Mixed Number \frac{31}{6} = 5\frac{1}{6}.

Explanation

1. Convert Mixed Numbers to Improper Fractions<br /> $6\frac{11}{12} = \frac{83}{12}$ and $1\frac{3}{4} = \frac{7}{4}$.<br />2. Find a Common Denominator<br /> The least common denominator of 12 and 4 is 12. Convert $\frac{7}{4}$ to $\frac{21}{12}$.<br />3. Subtract the Fractions<br /> $\frac{83}{12} - \frac{21}{12} = \frac{62}{12}$.<br />4. Simplify the Fraction<br /> $\frac{62}{12} = \frac{31}{6}$.<br />5. Convert to Mixed Number<br /> $\frac{31}{6} = 5\frac{1}{6}$.
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