Answer:
[tex]\huge\boxed{\sf - \frac{7}{68} }[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{3}{8} \div (-\frac{51}{24} \div \frac{7}{12} )\\\\While \ changing \ \div \ into \ \times, \ we \ will\ switch \ the \ denominator \ and \ numerator \ after \ \div \ sign\\\\= \frac{3}{8} \div (\frac{-51}{24} \times \frac{12}{7} )\\\\= \frac{3}{8} \div (\frac{-51}{2} \times \frac{1}{7} )\\\\= \frac{3}{8} \div \frac{-51}{2 \times 7} \\\\= \frac{3}{8} \div \frac{-51}{14} \\\\= \frac{3}{8} \times \frac{14}{-51} \\\\= \frac{1}{4} \times \frac{7}{-17} \\\\[/tex][tex]\displaystyle = \frac{1 \times 7}{4 \times (-17)} \\\\= \frac{7}{-68} \\\\= - \frac{7}{68} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
Peace!
