Hatcher-Topology-of-Numbers · Problem 1.1.5

Continued Fractions

Mathematics — Algebraic Topology · mediant-inequality

Problem

Determine whether the following statement is always true: If

a/b < a'/b'

and

c/d < c'/d'

then the mediant of

a/b

and

c/d

is less than the mediant of

a'/b'

and

c'/d'