Question

solve & simplify if necessary.

1. \\(\frac{3 - 1}{8 - 5} = \\) 8) \\(\frac{4 - 3}{1 - 6} = \\)
2. \\(\frac{7 - (-2)}{5 - 2} = \\) 10) \\(\frac{-8 - (-6)}{9 - 1} = \frac{-2}{8} \div \frac{2}{2} = \frac{-1}{4}\\)
3. \\(\frac{0 - 7}{-10 - (-3)} = \\) 12) \\(\frac{-4 - 4}{-6 - (-9)} = \\)
4. \\(\frac{7 - (-3)}{-2 - 0} = \\) 14) \\(\frac{3 - 8}{0 - 2} = \\)
5. \\(\frac{-5 - 4}{6 - (-6)} = \\) 16) \\(\frac{-1 - (-9)}{-1 - (-5)} = \frac{8}{4} = 2\\)
6. \\(\frac{15 - 11}{7 - (-2)} = \\) 18) \\(\frac{0 - 6}{0 - (-5)} = \\)

Explanation:

Problem 7: $\boldsymbol{\frac{3 - 1}{8 - 5}}$

Step 1: Calculate numerator

Subtract in the numerator: $3 - 1 = 2$.

Step 2: Calculate denominator

Subtract in the denominator: $8 - 5 = 3$.

Step 3: Form the fraction

The fraction becomes $\frac{2}{3}$, which is already in simplest form.

Step 1: Calculate numerator

Subtract in the numerator: $4 - 3 = 1$.

Step 2: Calculate denominator

Subtract in the denominator: $1 - 6 = -5$.

Step 3: Form the fraction

The fraction is $\frac{1}{-5}=-\frac{1}{5}$.

Step 1: Simplify numerator

Subtract the negative: $7 - (-2)=7 + 2 = 9$.

Step 2: Simplify denominator

Subtract in the denominator: $5 - 2 = 3$.

Step 3: Divide

Divide the numerator by the denominator: $\frac{9}{3}=3$.

Answer:

$\frac{2}{3}$

Problem 8: $\boldsymbol{\frac{4 - 3}{1 - 6}}$