# User:Xkrouhn

Program to convert a decimal to fraction number.

For transform a decimal to a fraction, previously we have to know what type is the decimal number, here are some examples

'Examples of types decimal numbers:

67 / 74 = 0.9054054 >>> Mixed decimal number.

42 / 81 = 0.518518 >>> Pure decimal number.

3/4 = 0.75 >>> Exact decimal number.

1. Write a function to convert a decimal number to fraction.

## BASIC

<lang qbasic> 'program to transform a decimal number to fraction 'LRCVS 11.06.11

declare sub exacto (a\$) declare sub puro (a\$, b\$()) declare sub mixto (a\$, b\$()) 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 string a, c, d, a2

dim y () as string dim w2 () as string

cls input "Decimal number = ";a\$ a2\$ = a\$ print if instr(a\$,".") = 0 then print "It's not a decimal number " : goto 100 cls l = len(a\$)

for r = 1 to l for s = 1 to l if s + r = l + 2 then exit for k = k + 1 next s next r

w1 = k redim y\$(w1) redim b\$(w1)

k = 0 for r = 1 to l for s = 1 to l c\$ = mid\$(a\$,r,s) if s + r = l + 2 then exit for if len(c\$) <= int(l/2) then k = k + 1 : y\$(k) = c\$ next s next r t = 0

for r = 1 to k i = 0 f = 0 x = 0 m = 0 if i = 0 then i = instr(a\$,y\$(r)):x = 1 for s = 1 to len(a\$) if x = 1 then f = instr(s,a\$,y\$(r)) if x = 1 and f > m then m = f next s

h = 0 k = 0 for n = i to m step len(y\$(r)) if h = 0 and mid\$(a\$,n,len(y\$(r))) = y\$(r) then k = k + 1 else h = 1 next n if k > 1 then t = t + 1 :b\$(t) = y\$(r) next r

for r = 1 to w1 for s = r + 1 to w1 if b\$(r) = b\$(s) then b\$(s) = "" next s next r

print "decimal number = ";a\$ print

ll = len(a\$) pp = instr(a\$,".") d\$ = mid\$(a\$,pp+1,ll) ps = instr(d\$,b\$(1)) if ps = 0 then

```               print "Decimal number exact"
print
call exacto (a\$)
end if
```

if ps = 1 then

```               print "Decimal number pure"
print
call puro (a\$, b\$())
end if
```

if ps > 1 then

```                print "Decimal number mix"
print
call mixto (a\$, b\$())
end if
```

100: print print "End" sleep end

':::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: sub exacto (a as string) dim as integer b, c, d, g, may, j, k, l, r, s, u, v, w, f dim as string z, h, g1 b = len(a\$) c = instr(a\$,".") d = b - c g = int(val(a\$)) h\$ = right\$(a\$, b - c)

may = 0 j = 10^d k = val(h\$) 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 next n l = factor (j,k) u = k/l v = j/l w = (g * v) + u print print w;"/";v ;" = " ;w/v

end sub

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

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

may = 0 x\$ = "" for n = 1 to lr x\$ = x\$ + "9" next n

j = val(x\$) k = val(h\$)

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 next n l = factor (j,k) u = k/l v = j/l w = (g * v) + u print w;"/";v ;" = ";w/v print print "Option >>> " call exacto (a\$)

end sub

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

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

z\$ = b\$(1) x5 = int(val(a\$)) w = instr(a\$, z\$) v = instr(a\$,".") y\$ = mid\$(a\$,v+1,w-v-1) lz = len(z\$) ly = len(y\$) b3 = (val(y\$)*(9*(10^ly))) + ((1*(10^ly))* (val(z\$))) c = (9*(10^ly))*(1*(10^ly)) j = b3 k = c 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 next n l = factor (b3,c) 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 print print "Option >>> " call exacto (a\$) end sub ':::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: function factor (j as integer, k as integer) as integer dim as integer may, n, s, r, l5, j5, k5 may = 0 l5 = 1 j5 = j k5 = k for n = 9 to 1 step - 1 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 next n if j5 > k5 then may = j5 else may = k5 for n = may to 1 step - 1

```  r = (j5 mod n)
s = (k5 mod n)
if r = 0 and s = 0  then l5 = n :exit for
```

next n factor = l5 end function end</lang>