To find a missing term in a pattern of fractions, convert all to improper fractions. Find the common difference.
Convert all to improper fractions with denominator 7.
\(\dfrac{11}{7}\)=11/7
\(2\dfrac{2}{7}\)=\(\dfrac{16}{7}\)
3=\(\dfrac{21}{7}\)
?=?
\(4\dfrac{3}{7}\)=\(\dfrac{31}{7}\)
Pattern: 11/7, 16/7, 21/7, ?, 31/7. Difference is 5/7 each step.
Missing term=\(\dfrac{21}{7} + \dfrac{5}{7} = \dfrac{26}{7} = 3\dfrac{5}{7}\)
Verify: 26/7 + 5/7 = 31/7 = 4 3/7. Correct!
Final Answer: 3 5/7