Think of mediant fractions
Algebra
Level
1
\[ \dfrac{7}{13} < \dfrac{7 + 1}{13 + 1} < \dfrac{7 + 2}{13 + 2} \]
The inequality above is true. Is the inequality below also true?
\[ \dfrac{7}{13} < \dfrac{7 + 1}{13 + 1} < \dfrac{7 + 2}{13 + 2} < \dfrac{7 + 3}{13 + 3} \]
by
Pi Han Goh