QuestionJune 30, 2026

J) Evaluate the expression. 2(1)/(4)+2(-(3)/(4)+(1)/(2)) square

J) Evaluate the expression. 2(1)/(4)+2(-(3)/(4)+(1)/(2)) square
J) Evaluate the expression.
2(1)/(4)+2(-(3)/(4)+(1)/(2))
square

Solution
4.0(240 votes)

Answer

1\frac{3}{4} \text{ or } 1.75 \text{ or } \frac{7}{4} Explanation 1. Simplify the expression inside the parentheses Calculate -\frac{3}{4} + \frac{1}{2} = -\frac{3}{4} + \frac{2}{4} = -\frac{1}{4}. 2. Multiply by the coefficient Multiply 2 \times (-\frac{1}{4}) = -\frac{2}{4} = -\frac{1}{2}. 3. Convert mixed number to improper fraction Convert 2\frac{1}{4} to \frac{9}{4}. 4. Perform final addition Calculate \frac{9}{4} - \frac{1}{2} = \frac{9}{4} - \frac{2}{4} = \frac{7}{4}.

Explanation

1. Simplify the expression inside the parentheses<br /> Calculate $-\frac{3}{4} + \frac{1}{2} = -\frac{3}{4} + \frac{2}{4} = -\frac{1}{4}$.<br /><br />2. Multiply by the coefficient<br /> Multiply $2 \times (-\frac{1}{4}) = -\frac{2}{4} = -\frac{1}{2}$.<br /><br />3. Convert mixed number to improper fraction<br /> Convert $2\frac{1}{4}$ to $\frac{9}{4}$.<br /><br />4. Perform final addition<br /> Calculate $\frac{9}{4} - \frac{1}{2} = \frac{9}{4} - \frac{2}{4} = \frac{7}{4}$.
Click to rate:

Similar Questions