a. \( 1 \frac{1}{2} \div 2 \frac{1}{4}= \)

To solve \( 1 \frac{1}{2} \div 2 \frac{1}{4} \), first convert the mixed numbers into improper fractions. \( 1 \frac{1}{2} = \frac{3}{2} \) and \( 2 \frac{1}{4} = \frac{9}{4} \). Now, you can rewrite the division as multiplication by the reciprocal: \( \frac{3}{2} \div \frac{9}{4} = \frac{3}{2} \times \frac{4}{9} = \frac{12}{18} \). Finally, simplify \( \frac{12}{18} = \frac{2}{3} \). So, \( 1 \frac{1}{2} \div 2 \frac{1}{4} = \frac{2}{3} \). If you think fractions have a mind of their own, you’re not alone! Many people trip up on improper fractions. Remember, converting them is key to success. Just multiply the whole number by the denominator and add the numerator. Fractions are everywhere! Next time you munch on a pizza, try measuring how much each person gets using fractions. Those delicious slices can turn into great math practice—divide it up and see how fair it can be!