Question

teacher:nichols class:period 4 6evzknhv
student mailyn
express as a simple fraction in lowest terms
\\(\frac{-1}{2} - \frac{2}{8} = \frac{\square}{\square}\\) ok

Explanation:

Step1: Find common denominator

The least common denominator of 2 and 8 is 8. Rewrite $\frac{-1}{2}$ with denominator 8:
$\frac{-1}{2} = \frac{-1 \times 4}{2 \times 4} = \frac{-4}{8}$

Step2: Subtract the fractions

Subtract the numerators over the common denominator:
$\frac{-4}{8} - \frac{2}{8} = \frac{-4 - 2}{8} = \frac{-6}{8}$

Step3: Simplify to lowest terms

Divide numerator and denominator by their greatest common divisor (2):
$\frac{-6 \div 2}{8 \div 2} = \frac{-3}{4}$

Answer:

$\frac{-3}{4}$