| 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! | ||