Answer:
a=1, b=5 and c=9
Step-by-step explanation:
We want to determine the values of a, b and c in the expression:
[tex]3\dfrac{1}{2} \div 2\dfrac{1}{4} =a\dfrac{b}{c}[/tex]
From the Left Hand Side
[tex]3\dfrac{1}{2} \div 2\dfrac{1}{4} \\$Change both fractions to improper fractions\\=\dfrac{7}{2} \div \dfrac{9}{4} \\$Change the division sign to multiplication by taking the reciprocal of the second fraction\\=\dfrac{7}{2} \times \dfrac{4}{9}\\\\=\dfrac{28}{18}\\\\=1\dfrac{5}{9}\\$Therefore: a=1, b=5 and c=9[/tex]
