QuestionAugust 26, 2025

3. 7(1)/(6)-4(2)/(3)=underline ( )

3. 7(1)/(6)-4(2)/(3)=underline ( )
3. 7(1)/(6)-4(2)/(3)=underline ( )

Solution
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Answer

\frac{5}{2} Explanation 1. Convert mixed numbers to improper fractions 7\frac{1}{6} = \frac{43}{6} and 4\frac{2}{3} = \frac{14}{3}. 2. Find a common denominator The least common denominator of 6 and 3 is 6. Convert \frac{14}{3} to \frac{28}{6}. 3. Subtract the fractions \frac{43}{6} - \frac{28}{6} = \frac{15}{6}. 4. Simplify the fraction \frac{15}{6} = \frac{5}{2}.

Explanation

1. Convert mixed numbers to improper fractions<br /> $7\frac{1}{6} = \frac{43}{6}$ and $4\frac{2}{3} = \frac{14}{3}$.<br />2. Find a common denominator<br /> The least common denominator of 6 and 3 is 6. Convert $\frac{14}{3}$ to $\frac{28}{6}$.<br />3. Subtract the fractions<br /> $\frac{43}{6} - \frac{28}{6} = \frac{15}{6}$.<br />4. Simplify the fraction<br /> $\frac{15}{6} = \frac{5}{2}$.
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