Question

Is there an easy way to see that ${1\over5} + \frac{1}{6} + \frac{1}{7} + \frac{1}{8} + \frac{1}{9} + \frac{1}{10} + \frac{1}{11} + \frac{1}{12} > 1$?

score 981 · Answer 1 · 2026-03-24 23:51:36

981

Views

Is there an easy way to see that ${1\over5} + \frac{1}{6} + \frac{1}{7} + \frac{1}{8} + \frac{1}{9} + \frac{1}{10} + \frac{1}{11} + \frac{1}{12} > 1$?

Published on 24 Mar 2026 - 23:51

score 129 · Answer 2 · 2020-01-21 23:34:55

129

Views

Proving $\frac1{\sec\phi-\tan\phi} - \frac1{\sec\phi+\tan\phi} =2\tan\phi$

Published on 21 Jan 2020 - 23:34

score 89 · Answer 3 · 2020-01-23 23:57:11

89

Views

If $\frac{a+b}{\csc x}=\frac{a-b}{\cot x}$, show that $\csc x \cot x=\frac{a^2-b^2}{4ab}$

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score 80 · Answer 4 · 2026-03-26 21:35:12

80

Views

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score 62 · Answer 5 · 2026-03-28 13:42:07

62

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Proof for an easy empirical result on fractions and ceilings

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score 446 · Answer 6 · 2026-03-25 04:41:47

446

Views

Showing that $\frac{1}{18} + \frac{1}{19} + \cdots + \frac{1}{47} < 1$ without brute force calculation

Published on 25 Mar 2026 - 4:41

score 260 · Answer 7 · 2026-03-25 17:23:39

260

Views

Is $\varphi$ the most irrational number?

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score 125 · Answer 8 · 2026-02-23 15:09:43

125

Views

How do is solve $\frac {12}{4}x+\frac{4}{2}=\frac {4}{2}x+\frac{12}{4}$?

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score 18 · Answer 9 · 2020-01-30 14:28:57

18

Views

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49

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92

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score 95 · Answer 12 · 2020-02-05 16:00:30

95

Views

Alternative Proof of Stern-Brocot Tree - No Rationals Omitted

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score 122 · Answer 13 · 2020-02-06 03:26:25

122

Views

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score 28 · Answer 14 · 2020-02-06 08:57:27

28

Views

Given $Q_{n+1}$ what is $Q_n$

Published on 06 Feb 2020 - 8:57

score 109 · Answer 15 · 2020-02-08 13:46:21

109

Views

How do you solve $\displaystyle \frac{n}{n+1}$ questions?

Published on 08 Feb 2020 - 13:46

List Question

Is there an easy way to see that ${1\over5} + \frac{1}{6} + \frac{1}{7} + \frac{1}{8} + \frac{1}{9} + \frac{1}{10} + \frac{1}{11} + \frac{1}{12} > 1$?

Proving $\frac1{\sec\phi-\tan\phi} - \frac1{\sec\phi+\tan\phi} =2\tan\phi$

If $\frac{a+b}{\csc x}=\frac{a-b}{\cot x}$, show that $\csc x \cot x=\frac{a^2-b^2}{4ab}$

Erdős-Strauss Conjecture: Is there a simpler way to solve?

Proof for an easy empirical result on fractions and ceilings

Showing that $\frac{1}{18} + \frac{1}{19} + \cdots + \frac{1}{47} < 1$ without brute force calculation

Is $\varphi$ the most irrational number?

How do is solve $\frac {12}{4}x+\frac{4}{2}=\frac {4}{2}x+\frac{12}{4}$?

Understanding appliction of sum notation with fraction - beginner question

What is Wolfram doing?

Fractional identity?

Alternative Proof of Stern-Brocot Tree - No Rationals Omitted

Power of a square root of a logarithm

Given $Q_{n+1}$ what is $Q_n$

How do you solve $\displaystyle \frac{n}{n+1}$ questions?

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