Question

1. subtract: $\left(-3\frac{1}{4}\

ight)-\left(-5\frac{1}{2}\
ight)$

Explanation:

Step1: Recall subtraction rule

Subtracting a negative is adding the positive: $(-3\frac{1}{4}) - (-5\frac{1}{2}) = (-3\frac{1}{4}) + 5\frac{1}{2}$

Step2: Convert to improper fractions

$-3\frac{1}{4}=-\frac{13}{4}$, $5\frac{1}{2}=\frac{11}{2}=\frac{22}{4}$

Step3: Add the fractions

$-\frac{13}{4}+\frac{22}{4}=\frac{-13 + 22}{4}=\frac{9}{4}$

Step4: Convert back to mixed number

$\frac{9}{4}=2\frac{1}{4}$

Answer:

$2\frac{1}{4}$