Question

1. $s + \frac{1}{4} = 12\frac{1}{2}$

Explanation:

Step1: Isolate the variable $s$

Subtract $\frac{1}{4}$ from both sides:
$s = 12\frac{1}{2} - \frac{1}{4}$

Step2: Convert mixed number to fraction

Rewrite $12\frac{1}{2}$ as improper fraction:
$12\frac{1}{2} = \frac{25}{2}$

Step3: Find common denominator

Adjust $\frac{25}{2}$ to have denominator 4:
$\frac{25}{2} = \frac{50}{4}$

Step4: Subtract the fractions

Calculate the difference:
$s = \frac{50}{4} - \frac{1}{4} = \frac{49}{4}$

Step5: Convert to mixed number (optional)

Rewrite $\frac{49}{4}$ as mixed number:
$\frac{49}{4} = 12\frac{1}{4}$

Answer:

$s = \frac{49}{4}$ or $12\frac{1}{4}$