Question

1. $j + \frac{3}{8}; j = \frac{3}{4}$

Explanation:

Step1: Combine like terms

Rewrite $j$ as $\frac{8}{8}j$, then add to $\frac{3}{8}j$:
$\frac{8}{8}j + \frac{3}{8}j = \frac{11}{8}j$
Equation becomes: $\frac{11}{8}j = \frac{3}{4}$

Step2: Isolate $j$

Multiply both sides by $\frac{8}{11}$:
$j = \frac{3}{4} \times \frac{8}{11}$

Step3: Simplify the product

Cancel common factor 4:
$j = \frac{3 \times 2}{11} = \frac{6}{11}$

Answer:

$j = \frac{6}{11}$