Prove that if a fraction is broken up into two the resulting two fractions cannot both have a larger value
18530
Given 4 integers, $a, b, c, d > 0$, does $\frac{a}{b} < \frac{c}{d}$ imply $\frac{a}{b} < \frac{a+c}{b+d} < \frac{c}{d}$?
49851
when the sum of some fractions be $1$
112139
limit of quotient of two series
102420
How to prove that adding $n$ to the numerator and denominator will move the resultant fraction close to $1$?
139841
Proving $A\setminus(B\setminus C)$ is not equal to $(A\setminus B)\setminus C$
118517
Does this constitute a valid proof that $\frac{x^2}{1+x^4} \leq \frac{1}{2}$?
135955
Prove: The positive integers cannot be partitioned into arithmetic sequences (using Complex Analysis)
33866
Show that $n$ does not divide $2^n - 1$ where $n$ is an integer greater than $1$?
147902
Prove $a \mid m$ and $b \mid m \implies \frac{a \cdot b}{\text{gcd}(a, b)} \mid m$
82803
Prove that $\lfloor\lfloor x/2 \rfloor / 2 \rfloor = \lfloor x/4 \rfloor$
45742
Prove that ${\left(\frac{x+1}{2}\right)}^{x+1} \leq x^x$
54513
Prove $\frac 1{x+1}<\ln\left(\frac{x+1}x\right)<0.5\left(\frac 1x+\frac 1{x+1}\right)$
144655
Expanding with fractional powers
142168
can we a prove ⊢ (α → α) → (α → α)
72600
Proof that $n!\leq {(\frac{n+1}{2})}^{n}$
41558
Prove that $\frac4{abcd} \geq \frac a b + \frac bc + \frac cd +\frac d a$
106979
Prove the inequality and limitation