Denominador común

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una fracción

Comparación

Representación
sobre la recta

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divisiones1 = 10.2 (slider from 2 to 12, step 1)
d1 = 6 (slider from 2 to 12, step 1)
b1 = 7 (slider from 2 to 12, step 1)
divisiones: round(divisiones1)
A = (3.02, 3.2)
b: round(b1)
B: A + (2, 0)
a = 0.765 (slider from 0 to 1, step 0.05)
aa: floor(((b - 2) * a)) + 1
d: round(d1)
w = 0.1 (slider from 0 to 1, step 0.1)
c: floor(((d - 2) * w)) + 1
m = LCM(b, d)
n_1: (aa * m / b)
n_2: (m * c / d)
e = Circle(A, 2)
B' = Rotate(B, ((aa / b * 360))°, A)
f = CircleSector(A, B, B')
lista2 = Sequence(Segment[Rotate[A, ((t * 360) * ° / b), A], Rotate[B, ((t * 360) * ° / b), A]], t, 1, b)
C = (3, -0.92)
D: C + (2, 0)
lista4 = Sequence(Segment[Rotate[C, ((t * 360) * ° / d), C], Rotate[D, ((t * 360) * ° / d), C]], t, 1, d)
D' = Rotate(D, ((c / d * 360))°, C)
h = CircleSector(C, D, D')
g = Circle(C, 2)
lista5 = Sequence(Segment[Rotate[A, ((t * 360) * ° / m), A], Rotate[B, ((t * 360) * ° / m), A]], t, 1, m)
lista6 = Sequence(Segment[Rotate[C, ((t * 360) * ° / m), C], Rotate[D, ((t * 360) * ° / m), C]], t, 1, m)
texto4: "\frac{ " + n_1 + " }{" + m + " } "
texto5: "mcm (" + b + ", " + d + ") = " + m
texto6: " \frac{ " + n_2 + " }{" + m + " } "
j = false
p = GCD(n_1 + n_2, m)
q = GCD(n_1 - n_2, m)
z = 3 (slider from 3 to 5, step 1)
polígono1, r, s, t, a_1 = Polygon(E, E + (0, (-9)), E + (2.5, (-9)), E + (2.5, 0))
I = (11.040000000000001, 1.08)
lista7 = Sequence((1, 0) + ((t * 13 / b), 0), t, 0, b)
F = (1.34, -2.2800000000000002)
G: F + (5, 0)
H: F + (0, 5)
J: F + (5, 5)
L1 = Sequence(F + (t * (G - F)), t, 0, 1, 1 / b)
L2 = Sequence(H + (t * (J - H)), t, 0, 1, 1 / b)
b_1 = Ray(H, J)
K = Point(b_1)
c_1 = Segment(H, K)
Q = Point(Segment[(1, -0.4), (14, -0.4)])
T1 = Element(L1, aa + 1)
T2 = Element(L2, aa + 1)
v = false
lista8 = Sequence((1, 0) + ((t * 13 / divisiones), 0), t, 0, divisiones)
texto42: " \frac{ " + c + " }{" + d + " }"
text = If(aa / b < c / d, "<", If[aa / b ≟ c / d, "=", ">"])
texto43: text + ""
o_1 = false
texto36: "a = " + aa
texto35: "b = " + b
texto3: " \frac{ c }{ d}  \,\,= \,\, \frac{ " + c + " }{" + d + " } "
texto23: "c = " + c
texto24: "d = " + d
n = Segment((1, 0), (14, 0))
texto29: "Nº de divisiones = " + divisiones
texto2: "  \frac{ a }{b } \,\,=  \,\, \frac{" + aa + " }{" + b + "}"
texto30: " \frac{ " + aa + " }{" + b + " } "
texto22: " \frac{" + aa + "}{" + b + "}"
T = (1, 0)
U = (14, 0)
g_2 = Circle(A, 2.2)
h_2 = Ray(A, B)
i_2 = Ray(A, B')
V = Intersect(g_2, i_2, 1)
W = Intersect(g_2, h_2, 1)
p_2 = Circle(C, 2.2)
j_2 = Ray(C, D)
l_2 = Ray(C, D')
Z = Intersect(p_2, l_2, 1)
A_1 = Intersect(p_2, j_2, 1)
l = Segment((0.5, 0), (15, 0))
texto41: " \frac{ " + aa + " }{" + b + " }"
A2: ((13 * aa / b) + 1, 0.4)