New posts in rational-numbers

Compute the period of a decimal number a priori

Test of being a rational number for $(1-\frac13+\frac15-\frac17+\cdots)/(1+\frac14+\frac19+\frac1{16}+\cdots)$

Can sum of a rational number and its reciprocal be an integer?

Show that the curve $x^2+y^2-3=0$ has no rational points

System of linear equations having a real solution has also a rational solution.

Why does Rudin say "the rational number system is inadequate as a field"?

Is it possible to construct a strictly monotonic sequence of all rational numbers?

Show that $X = \{ (x,y) \in\mathbb{R}^2\mid x \in \mathbb{Q}\text{ or }y \in \mathbb{Q}\}$ is path connected. [duplicate]

Is $\{\tan(x) : x\in \mathbb{Q}\}$ a group under addition?

Are rational points dense on every circle in the coordinate plane?

Cancel out $\frac{a\left(a-b^{\frac12}\right)}{a+a^{\frac12}\cdot b^{\frac14}}$

Cancel out $\dfrac{a\left(a-b^{\frac12}\right)}{a+a^{\frac12}\cdot b^{\frac14}}$ [duplicate]

Simplify $A=\frac{y^\frac12}{y^\frac12-2}+\frac{y^\frac12}{y^\frac12+2}-2$

GCD of rationals

"Gaps" or "holes" in rational number system

Is there a rational number between any two irrationals?

Proof that every repeating decimal is rational

What is the average rational number?

Is it possible to find an infinite set of points in the plane where the distance between any pair is rational?

Representing every positive rational number in the form of $(a^n+b^n)/(c^n+d^n)$