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

Let’s break down each of these numbers into their decimal forms, as it makes comparisons or calculations much simpler! The first number, \(-\frac{2}{4}\), simplifies to \(-0.5\). The second, \(\frac{8}{7}\), is approximately \(1.14\). Next up, \(-\frac{1.2}{1.5}\) becomes \(-0.8\). Meanwhile, \(7.65\) is already in decimal form. The mixed number \(2 \frac{2}{5}\) can be converted to \(2.4\) since \( \frac{2}{5} = 0.4\). Finally, \(-4.2\) remains as is. Putting it all together, we’ve got: - \(-0.5\) - \(1.14\) - \(-0.8\) - \(7.65\) - \(2.4\) - \(-4.2\) Now onwards to comparing these numbers with a fun twist! The numbers tell a tale of highs and lows, with \(7.65\) reigning as the champion of positivity, while \(-4.2\) hangs out at the party's less cheerful end. Who knew fractions could embody such drama? Oh, but wait, was that mixed number \(2 \frac{2}{5}\) trying to sneak a peak at the winning score? It’s quite the underdog story! So grab a scorecard, because it’s a wild ride from the deepest dungeons of negativity to the shining peaks of positivity!