QuestionJuly 15, 2025

3 What is the value of 3(1)/(4)-1(2)/(3)-(-4(1)/(2)) A -3(1)/(12) B -2(11)/(12) C 6(1)/(2) D 9(5)/(12)

3 What is the value of 3(1)/(4)-1(2)/(3)-(-4(1)/(2)) A -3(1)/(12) B -2(11)/(12) C 6(1)/(2) D 9(5)/(12)
3
What is the value of
3(1)/(4)-1(2)/(3)-(-4(1)/(2))
A -3(1)/(12)
B -2(11)/(12)
C 6(1)/(2)
D 9(5)/(12)

Solution
4.2(205 votes)

Answer

C 6\frac {1}{12} Explanation 1. Convert mixed numbers to improper fractions 3\frac{1}{4} = \frac{13}{4}, 1\frac{2}{3} = \frac{5}{3}, 4\frac{1}{2} = \frac{9}{2} 2. Apply subtraction and addition Calculate \frac{13}{4} - \frac{5}{3} + \frac{9}{2} 3. Find common denominator Common denominator for 4, 3, and 2 is 12. 4. Convert fractions to common denominator \frac{13}{4} = \frac{39}{12}, \frac{5}{3} = \frac{20}{12}, \frac{9}{2} = \frac{54}{12} 5. Perform operations \frac{39}{12} - \frac{20}{12} + \frac{54}{12} = \frac{73}{12} 6. Convert back to mixed number \frac{73}{12} = 6\frac{1}{12}

Explanation

1. Convert mixed numbers to improper fractions<br /> $3\frac{1}{4} = \frac{13}{4}$, $1\frac{2}{3} = \frac{5}{3}$, $4\frac{1}{2} = \frac{9}{2}$<br />2. Apply subtraction and addition<br /> Calculate $\frac{13}{4} - \frac{5}{3} + \frac{9}{2}$<br />3. Find common denominator<br /> Common denominator for 4, 3, and 2 is 12.<br />4. Convert fractions to common denominator<br /> $\frac{13}{4} = \frac{39}{12}$, $\frac{5}{3} = \frac{20}{12}$, $\frac{9}{2} = \frac{54}{12}$<br />5. Perform operations<br /> $\frac{39}{12} - \frac{20}{12} + \frac{54}{12} = \frac{73}{12}$<br />6. Convert back to mixed number<br /> $\frac{73}{12} = 6\frac{1}{12}$
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