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=={{header|BASIC}}==
=={{header|BASIC}}==
<lang qbasic>
<lang qbasic>
'Program to transform a decimal to a fraction
'program to transform a decimal number to fraction
'LRCVS 11.06.11

declare sub exacto (a$)
declare sub exacto (a$)
declare sub puro (a$, b$())
declare sub puro (a$, b$())
declare sub mixto (a$, b$())
declare sub mixto (a$, b$())
declare sub multiplo (a$)
declare function factor (j , k ) as integer


dim as integer l, r, s, t, k, w1, i, m, x, ll, pp, ps, u, v, j
dim as integer l, r, s, t, k, w1, i, m, x, ll, pp, ps, u, v, j


dim as string a, c, d
dim as string a, c, d, a2


dim y () as string
dim y () as string
Line 36: Line 34:
cls
cls
input "Decimal number = ";a$
input "Decimal number = ";a$
a2$ = a$
print
print
if instr(a$,".") = 0 then print "This is not a decimal number " : goto 100
if instr(a$,".") = 0 then print "It's not a decimal number " : goto 100
cls
cls
l = len(a$)
l = len(a$)
Line 87: Line 86:
next r
next r


print "Decimal number = ";a$
print "decimal number = ";a$
print
print

'if b$(1) <> "" then print "repeticion = ";b$(1)
'print
ll = len(a$)
ll = len(a$)
pp = instr(a$,".")
pp = instr(a$,".")
Line 96: Line 94:
ps = instr(d$,b$(1))
ps = instr(d$,b$(1))
if ps = 0 then
if ps = 0 then
print "Exact decimal number "
print "Decimal number exact"
print
print
call exacto (a$)
call exacto (a$)
end if
end if
if ps = 1 then
if ps = 1 then
print "Pure decimal number "
print "Decimal number pure"
print
print
call puro (a$, b$())
call puro (a$, b$())
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if ps > 1 then
if ps > 1 then
print "Mixed decimal number "
print "Decimal number mix"
print
print
call mixto (a$, b$())
call mixto (a$, b$())
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end
end


'::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
sub exacto (a$)
sub exacto (a as string)
dim as integer b, c, d, g, may, j, k, l, r, s, u, v, w, f
dim as integer b, c, d, g, may, j, k, l, r, s, u, v, w, f
dim as string z, h, g1
dim as string z, h, g1
Line 123: Line 122:
c = instr(a$,".")
c = instr(a$,".")
d = b - c
d = b - c
z$ = "0"
g = int(val(a$))
g = int(val(a$))
h$ = right$(a$, b - c)
h$ = right$(a$, b - c)
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j = 10^d
j = 10^d
k = val(h$)
k = val(h$)
for n = 9 to 1
for n = 9 to 1 step - 1
if j mod (1*(10^n)) = 0 and k mod (1*(10^n)) = 0 then j = j/(1*(10^n)) : k = k/(1*(10^n)) : exit for
if j mod (1*(10^n)) = 0 and k mod (1*(10^n)) = 0 then j = j/(1*(10^n)) : k = k/(1*(10^n)) :exit for
next n
l = 1
if j > k then may = j else may = k
for n = 1 to may
r = (j mod n)
s = (k mod n)
if r = 0 and s = 0 then l = n
next n
next n
l = factor (j,k)
u = k/l
u = k/l
v = j/l
v = j/l
w = (g * v) + u
w = (g * v) + u
print
print w;"/";v ;" = " ;w/v
print w;"/";v ;" = " ;w/v

end sub
end sub


'::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
sub puro (a as string, b() as string)
sub puro (a as string, b() as string)
dim as integer b2, c, d, g, may, j, k, l, r, s, u, v, w, f, lr
dim as integer b2, c, d, g, may, j, k, l, u, v, w, f, lr,x5
dim as string z, h, g1, x
dim as string z, h, g1, x, a3

'decimal puro
z$ = b$(1)
z$ = b$(1)
x5 = int(val(a$))
lr = len (z$)
lr = len (z$)
b2 = len (a$)
b2 = len (a$)
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g = int (val(a$))
g = int (val(a$))
b2 = len(z$) + 1 + len(str$(g))
b2 = len(z$) + 1 + len(str$(g))
a$ = str$(g) + "." + z$
a3$ = str$(g) + "." + z$
h$ = right$(a$, b2 - c)
h$ = right$(a3$, b2 - c)


may = 0
may = 0
x$ = ""
x$ = ""
for n = 1 to lr
for n = 1 to lr
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j = val(x$)
j = val(x$)
k = val(h$)
k = val(h$)

l = 1
for n = 9 to 1
for n = 9 to 1 step - 1
if j mod (1*(10^n)) = 0 and k mod (1*(10^n)) = 0 then j = j/(1*(10^n)) : k = k/(1*(10^n)) : exit for
if j mod (1*(10^n)) = 0 and k mod (1*(10^n)) = 0 then j = j/(1*(10^n)) : k = k/(1*(10^n)) :exit for
next n
if j > k then may = j else may = k
for n = 1 to may
r = (j mod n)
s = (k mod n)
if r = 0 and s = 0 then l = n
next n
next n
l = factor (j,k)
u = k/l
u = k/l
v = j/l
v = j/l
w = (g * v) + u
w = (g * v) + u
print w;"/";v ;" = ";w/v
print w;"/";v ;" = ";w/v
print
print "Option >>> "
call exacto (a$)

end sub
end sub


'::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
sub mixto (a as string, b() as string)
sub mixto (a as string, b() as string)


dim as integer b3, c, d, g, may, j, k, l, r, s, u, v, w, f, lr, lz, ly, x5
dim as integer b3, c, d, g, j, k, l, u, v, w, f, lr, lz, ly, x5
dim as string z, h, g4, g7, x, y
dim as string z, h, g4, g7, x, y


Line 197: Line 193:
b3 = (val(y$)*(9*(10^ly))) + ((1*(10^ly))* (val(z$)))
b3 = (val(y$)*(9*(10^ly))) + ((1*(10^ly))* (val(z$)))
c = (9*(10^ly))*(1*(10^ly))
c = (9*(10^ly))*(1*(10^ly))

may = 0
j = b3
j = b3
k = c
k = c
for n = 9 to 1
for n = 9 to 1 step - 1
if j mod (1*(10^n)) = 0 and k mod (1*(10^n)) = 0 then j = j/(1*(10^n)) : k = k/(1*(10^n)) : exit for
if j mod (1*(10^n)) = 0 and k mod (1*(10^n)) = 0 then j = j/(1*(10^n)) : k = k/(1*(10^n)): exit for
next n
next n
l = factor (b3,c)
if j > k then may = j else may = k
u = k/l
for n = 1 to may
r = (j mod n)
v = j/l
s = (k mod n)
if r = 0 and s = 0 then l = n
next n
u = k/l
v = j/l
if x5 <> 0 then print (x5*v)+ u;"/";u ;" = ";((x5*v)+ u)/u else print v;"/";u;" = "; v/u
if x5 <> 0 then print (x5*v)+ u;"/";u ;" = ";((x5*v)+ u)/u else print v;"/";u;" = "; v/u
print
f = len(a$)
print "Option >>> "
j = 0
call exacto (a$)
if x5 <> 0 then g7$ = str$(((x5*v)+u)/u) else g7$ = str$(v/u)
if mid$(a$,1,f) <> mid$(g7$,1,f) then print ">>> error !!!" :j = 1

if j = 1 then call multiplo (a$)

end sub
end sub
'::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

function factor (j as integer, k as integer) as integer
sub multiplo (a$)
dim as integer j, b, c, g, h, k, n, u, v
dim as integer may, n, s, r, l5, j5, k5
may = 0
dim as string e,f
l5 = 1
cls
j5 = j
print "Numero decimal exacto"
k5 = k
print
for n = 9 to 1 step - 1
j = 0
if j5 mod (1*(10^n)) = 0 and k5 mod (1*(10^n)) = 0 then j5 = j5/(1*(10^n)) : k5 = k5/(1*(10^n)): exit for
b = len(a$)
c = instr(a$,".")
d = b - c
e$ = str$(int(val(a$)))
f$ = mid$(a$,c + 1 , d)
g = val(e$+f$)
h = 1*(10^d)
may = 0 'limite
j = g
k = h
if j > k then may = j else may = k
for n = 9 to 1
if j mod (1*(10^n)) = 0 and k mod (1*(10^n)) = 0 then j = j/(1*(10^n)) : k = k/(1*(10^n)) : exit for
next n
next n
for n = 1 to j * k
if j5 > k5 then may = j5 else may = k5
for n = may to 1 step - 1
if j mod n = 0 and k mod n = 0 then l = n :exit for
r = (j5 mod n)
s = (k5 mod n)
if r = 0 and s = 0 then l5 = n :exit for
next n
next n
factor = l5
u = k/l 'numerador
end function
v = j/l 'denominador
print v;"/";u ;" = "; v / u
end sub

end</lang>
end</lang>