Question

1. \\(\frac{1}{9} - (-\frac{4}{9}) =\\)\
2. \\(\frac{1}{2} - \frac{5}{6} =\\)

Explanation:

Problem 2:

Step1: Simplify the subtraction of a negative

Subtracting a negative is the same as adding the positive, so $\frac{1}{9} - (-\frac{4}{9}) = \frac{1}{9} + \frac{4}{9}$.

Step2: Add the fractions

Since the denominators are the same, we add the numerators: $\frac{1 + 4}{9} = \frac{5}{9}$.

Step1: Find a common denominator

The least common denominator of 2 and 6 is 6. Rewrite $\frac{1}{2}$ with denominator 6: $\frac{1}{2} = \frac{3}{6}$.

Step2: Subtract the fractions

Now subtract: $\frac{3}{6} - \frac{5}{6} = \frac{3 - 5}{6} = \frac{-2}{6}$.

Step3: Simplify the fraction

Simplify $\frac{-2}{6}$ by dividing numerator and denominator by 2: $\frac{-1}{3}$.

Answer:

$\frac{5}{9}$

Problem 4: