Question

Prove that a fraction that has terminating decimals has its denominator as a multiple of only 2 and 5's.

score 5.2k · Answer 1 · 2026-03-26 16:07:10

5.2k

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Prove that a fraction that has terminating decimals has its denominator as a multiple of only 2 and 5's.

Published on 26 Mar 2026 - 16:07

score 81 · Answer 2 · 2016-11-15 02:34:50

81

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For $a$, $b$, $c$ the sides of a triangle, prove $\left| \frac{a}b-\frac{b}a+\frac{b}c-\frac{c}b+\frac{c}a-\frac{a}c\right|< 1$

Published on 15 Nov 2016 - 2:34

score 459 · Answer 3 · 2016-11-15 13:40:32

459

Views

Is $9*(1/9) = 0.99999999...$ statement correct?

Published on 15 Nov 2016 - 13:40

score 40 · Answer 4 · 2016-11-15 18:27:13

40

Views

Equation transposition

Published on 15 Nov 2016 - 18:27

score 143 · Answer 5 · 2016-11-15 22:39:56

143

Views

Fraction Decomposition

Published on 15 Nov 2016 - 22:39

score 106 · Answer 6 · 2016-11-16 19:54:53

106

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What is the value of the expression $\dfrac13\sqrt{\dfrac{12}{4}}-\left(\dfrac{9\cdot 5^{-2}}{0,5\cdot 2^{-1}}\right)^{-0,5}$?

Published on 16 Nov 2016 - 19:54

score 90 · Answer 7 · 2016-11-17 23:05:17

90

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Show that $\frac{1-2^{-x}}{1+2^{-x}}$ is equivalent to $\frac{2^x-1}{2^x+1}$

Published on 17 Nov 2016 - 23:05

score 25 · Answer 8 · 2026-03-30 04:55:51

25

Views

How should this fraction involving powers be solved

Published on 30 Mar 2026 - 4:55

score 142 · Answer 9 · 2026-03-25 19:10:17

142

Views

Showing $64\le\left(1+\frac1x\right)\left(1+\frac1y\right)\left(1+\frac1z\right)$

Published on 25 Mar 2026 - 19:10

score 70 · Answer 10 · 2026-03-26 01:12:17

70

Views

Showing $\frac12 3^{2-p}(x+y+z)^{p-1}\le\frac{x^p}{y+z}+\frac{y^p}{x+z}+\frac{z^p}{y+x}$

Published on 26 Mar 2026 - 1:12

score 225 · Answer 11 · 2026-03-27 22:52:52

225

Views

Is $\frac{a^4}{(b-a)(c-a)}+\frac{b^4}{(c-b)(a-b)}+\frac{c^4}{(a-c)(b-c)} $ always an integer?

Published on 27 Mar 2026 - 22:52

score 75 · Answer 12 · 2016-11-22 04:05:37

75

Views

Factorial equality $\ \frac{1\cdot3\cdot5\cdots(2k-1)}{2^k2!}$ $\ = \frac{(2k)!}{2^k2^kk!k!}$

Published on 22 Nov 2016 - 4:05

score 295 · Answer 13 · 2016-11-23 05:44:25

295

Views

Simplifying ‘fraction-over-fraction-over-fraction’

Published on 23 Nov 2016 - 5:44

score 124 · Answer 14 · 2016-11-24 08:49:34

124

Views

$3/3 = 1$. But what if I write it as $(1+1+1)/3$ or $1/3+1/3+1/3$?

Published on 24 Nov 2016 - 8:49

score 3.4k · Answer 15 · 2016-11-24 17:54:48

3.4k

Views

Why do we 'invert and multiply' when dividing fractions?

Published on 24 Nov 2016 - 17:54

List Question

Prove that a fraction that has terminating decimals has its denominator as a multiple of only 2 and 5's.

For $a$, $b$, $c$ the sides of a triangle, prove $\left| \frac{a}b-\frac{b}a+\frac{b}c-\frac{c}b+\frac{c}a-\frac{a}c\right|< 1$

Is $9*(1/9) = 0.99999999...$ statement correct?

Equation transposition

Fraction Decomposition

What is the value of the expression $\dfrac13\sqrt{\dfrac{12}{4}}-\left(\dfrac{9\cdot 5^{-2}}{0,5\cdot 2^{-1}}\right)^{-0,5}$?

Show that $\frac{1-2^{-x}}{1+2^{-x}}$ is equivalent to $\frac{2^x-1}{2^x+1}$

How should this fraction involving powers be solved

Showing $64\le\left(1+\frac1x\right)\left(1+\frac1y\right)\left(1+\frac1z\right)$

Showing $\frac12 3^{2-p}(x+y+z)^{p-1}\le\frac{x^p}{y+z}+\frac{y^p}{x+z}+\frac{z^p}{y+x}$

Is $\frac{a^4}{(b-a)(c-a)}+\frac{b^4}{(c-b)(a-b)}+\frac{c^4}{(a-c)(b-c)} $ always an integer?

Factorial equality $\ \frac{1\cdot3\cdot5\cdots(2k-1)}{2^k2!}$ $\ = \frac{(2k)!}{2^k2^kk!k!}$

Simplifying ‘fraction-over-fraction-over-fraction’

$3/3 = 1$. But what if I write it as $(1+1+1)/3$ or $1/3+1/3+1/3$?

Why do we 'invert and multiply' when dividing fractions?

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