Date UMBER OPERATIONS act, or quotient. 2. \[ \frac{3}{10} \div \frac{2}{5}=1.7 \] 5. \[ -\frac{4}{5} \times \frac{2}{3}=\frac{-8}{15} \] 8. \[ -\frac{3}{8} \div \frac{3}{4}= \] \( \qquad \) 11. \[ -0.3 \times(-1.25)= \] \( \qquad \) 14. \[ -54 \div(-0.8)= \] 17. \[ -\frac{2}{10}-(-1.6)= \] \( \qquad \) 20. \[ 4.3 \times\left(-\frac{n}{20}\right)= \] \( \qquad \) 3. \[ -\frac{1}{6}+\frac{3}{8}=\frac{5}{24} \] 6. \[ -0.7 \div(-5)=0.14 \] 9. \[ -1 \frac{4}{9} \times\left(-\frac{2}{7}\right)= \] \( \qquad \) 12. \[ -\frac{3}{5} \div 3 \frac{1}{3}= \] \( \qquad \) 15. \[ -5.36-4.92= \] \( \qquad \) 18. \[ -\frac{2}{5} \times 2.25= \] \( \qquad \) 21. \[ 1.29-3 \frac{7}{100}= \] \( \qquad \)
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The Deep Dive
Understanding the rules of dividing fractions can be a head-scratcher at first, but once you grasp the "invert and multiply" technique, it becomes a breeze! Just flip the second fraction and multiply away. In the example with \(-\frac{3}{8} \div \frac{3}{4}\), you would invert \(\frac{3}{4}\) to get \(\frac{4}{3}\) and get \(-\frac{3}{8} \times \frac{4}{3}\). Who knew fractions could be so much fun? When it comes to multiplying and dividing decimals, remember that the signs matter! Multiplying two negatives gives you a positive, while a negative and a positive? You've got yourself a negative result. For example, in the expression \(-0.3 \times (-1.25)\), the result will turn out to be positive! Keep an eye on those signs, and you'll master decimal operations in no time!