Question

1. $3\frac{1}{4}+z = 6\frac{3}{4}$

Explanation:

Step1: Rearrange to isolate $z$

$z = 6\frac{3}{4} - 3\frac{1}{4}$

Step2: Subtract whole numbers and fractions

Whole numbers: $6 - 3 = 3$
Fractions: $\frac{3}{4} - \frac{1}{4} = \frac{2}{4} = \frac{1}{2}$

Step3: Combine results

$z = 3 + \frac{1}{2}$

Answer:

$3\frac{1}{2}$