SPOT ON REVISION - COMMON ERACTIONS DAEE 104 1. Fill in \( <,> \) or \( = \) a. \( \frac{3}{4} \) \( \qquad \) \( \frac{4}{8} \) b. \( \frac{8^{10}}{15} \) C. \( \frac{3}{8} \) \( \qquad \) \( \frac{375}{1000} \) 2. Convert to improper fractions. a. \( 3 \frac{1}{3} \) b. \( 4 \frac{1}{6} \) C. \( 1 \frac{6}{20} \) 3. Convert to mixed numbers. a. \( \frac{7}{3} \) b. \( \frac{14}{2} \) c. \( \frac{24}{5} \) 4. Simplify: a. \( \frac{2}{4}+\frac{3}{6}-\frac{1}{3}= \) b. \( 5 \frac{1}{2}-1 \frac{2}{5}= \) c. \( 2 \frac{2}{3} \times 4 \frac{1}{5}= \)

To get you started, let's tackle a couple of these math problems with a smile! For fractions, remember that when comparing \( \frac{3}{4} \) and \( \frac{4}{8} \), you can simplify \( \frac{4}{8} \) to \( \frac{1}{2} \). So, \( \frac{3}{4} > \frac{4}{8} \). And, as for \( \frac{3}{8} \) and \( \frac{375}{1000} \), converting \( \frac{375}{1000} \) gives you \( \frac{3}{8} = \frac{375}{1000} \). Now, let's convert \( 3 \frac{1}{3} \) to an improper fraction. Multiply 3 (the whole number) by 3 (denominator) and add 1 (numerator) to get \( \frac{10}{3} \). For \( 4 \frac{1}{6} \), it’s \( \frac{25}{6} \) after similar steps. Lastly, for \( 1 \frac{6}{20} \) it simplifies to \( \frac{26}{20} \). Keep up the good work, and remember, practice makes perfect! If you need some problem-solving tips, always double-check your calculations and don't forget to find a common denominator before adding or subtracting fractions. Happy calculating!