Solve for \( j \) \[ \begin{array}{l}j-\frac{3}{5}=\frac{1}{4} \\ j=\square\end{array} \]
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To solve for \( j \), we start with the equation: \[ j - \frac{3}{5} = \frac{1}{4} \] Next, we need to isolate \( j \) by adding \( \frac{3}{5} \) to both sides: \[ j = \frac{1}{4} + \frac{3}{5} \] To add these fractions, we first need a common denominator. The least common multiple of 4 and 5 is 20. Now, we convert both fractions: \[ \frac{1}{4} = \frac{5}{20} \quad \text{and} \quad \frac{3}{5} = \frac{12}{20} \] Now, we can add the fractions: \[ j = \frac{5}{20} + \frac{12}{20} = \frac{17}{20} \] Thus, the solution for \( j \) is: \[ j = \frac{17}{20} \]