\( \frac { - 2 } { 4 } , \quad \frac { 8 } { 7 } , \quad \frac { - 1.2 } { 1.5 } , \quad 7.65 , \quad 2 \frac { 2 } { 5 } , \quad - 4.2 \)

1. Convert \( \frac{-2}{4} \) to simplest form: \[ \frac{-2}{4} = \frac{-1}{2} \] 2. The fraction \( \frac{8}{7} \) is already in its simplest form. 3. Simplify \( \frac{-1.2}{1.5} \): Multiply numerator and denominator by 10 to eliminate decimals: \[ \frac{-1.2}{1.5} = \frac{-12}{15} \] Now, divide both numerator and denominator by their greatest common divisor (3): \[ \frac{-12}{15} = \frac{-4}{5} \] 4. Express \( 7.65 \) as a fraction: Write it as \[ 7.65 = \frac{765}{100} \] Then simplify by noticing that both 765 and 100 are divisible by 5: \[ \frac{765 \div 5}{100 \div 5} = \frac{153}{20} \] 5. Convert the mixed number \( 2\frac{2}{5} \) to an improper fraction: Multiply the whole number by the denominator and add the numerator: \[ 2\frac{2}{5} = \frac{2 \times 5 + 2}{5} = \frac{10 + 2}{5} = \frac{12}{5} \] 6. Express \( -4.2 \) as a fraction: Write it as \[ -4.2 = -\frac{42}{10} \] Now simplify by dividing numerator and denominator by 2: \[ -\frac{42}{10} = -\frac{21}{5} \] The final simplified forms are: \[ \frac{-2}{4} = \frac{-1}{2}, \quad \frac{8}{7}, \quad \frac{-1.2}{1.5} = \frac{-4}{5}, \quad 7.65 = \frac{153}{20}, \quad 2\frac{2}{5} = \frac{12}{5}, \quad -4.2 = -\frac{21}{5} \]