Question

1. $a - 4\frac{3}{8} = 2\frac{1}{2}$

Explanation:

Step1: Isolate variable $a$

Add $4\frac{3}{8}$ to both sides:
$a = 2\frac{1}{2} + 4\frac{3}{8}$

Step2: Convert to improper fractions

Rewrite mixed numbers:
$2\frac{1}{2} = \frac{5}{2}$, $4\frac{3}{8} = \frac{35}{8}$

Step3: Find common denominator

Convert $\frac{5}{2}$ to eighth:
$\frac{5}{2} = \frac{20}{8}$

Step4: Add the fractions

Sum the equivalent fractions:
$a = \frac{20}{8} + \frac{35}{8} = \frac{55}{8}$

Step5: Convert to mixed number

Simplify to mixed form:
$\frac{55}{8} = 6\frac{7}{8}$

Answer:

$a = 6\frac{7}{8}$ or $\frac{55}{8}$