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Programming-Idioms

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Idiom #348 Convert a Decimal value into a Fraction

Parse a number, a, into a fraction, f.

For example, 1.2 is `1 1/5`, and 3.4 is `3 2/5`.

https://en.wikipedia.org/wiki/Decimal
https://en.wikipedia.org/wiki/Fraction

from math import gcd
a, b = str(a).split('.')
i, n = map(int, (a, b))
d = 10 ** len(b)
if value := gcd(n, d):
    n //= value
    d //= value
if not n:
    s = str(i)
elif not i:
    s = f'{n}/{d}'
else:
    s = f'{i} {n}/{d}'
from fractions import Fraction
f = Fraction(a)
from fractions import Fraction
def mixed_number(value) -> str:
    value = Fraction(str(value))
    signed = value < 0
    integer = 0
    n, d = value.as_integer_ratio()
    if signed:
        n = -n
    if n and (n > d):
        integer, n = divmod(n, d)
    if n == d:
        integer = n
        n = 0
    if not integer and n:
        s = f'{n}/{d}'
    elif not n:
        s = str(integer)
    else:
        s = f'{integer} {n}/{d}'
    if signed:
        s = f'-({s})'
    return s
F: str = mixed_number(A)
#include <cmath>
#include <iostream>
#include <numeric>
#include <regex>
using namespace std;
string s {to_string(a)}, f;
regex p {"\\."};
sregex_token_iterator r {
    begin(s), end(s), p, -1
};
int i {stoi(*r)}, n {stoi(*++r)},
    d {int(pow(10, r->length()))},
    v {gcd(n, d)};
if (v) {
    n /= v;
    d /= v;
}
if (not n) f = to_string(i);
else {
    f = to_string(n) + '/' + to_string(d);
    if (i) f = to_string(i) + ' ' + f;
}
let s = a.toString(), f,
    [x, y] = s.split('.'),
    i = parseInt(x), n = parseInt(y),
    d = Math.pow(10, y.length),
    gcf = (a, b) => !b ? a : gcf(b, a % b),
    v = gcf(n, d)
if (v) {
    n /= v;
    d /= v;
}
if (!n) f = i.toString()
else {
    f = `${n}/${d}`
    if (i) f = `${i} ${f}`
}
import static java.lang.Integer.parseInt;
import static java.lang.Math.pow;
import static java.lang.String.valueOf;
String s[] = valueOf(a).split("\\."), f;
int i = parseInt(s[0]), n = parseInt(s[1]),
    d = (int) pow(10, s[1].length()), v;
record GCF() {
    static int of(int a, int b) {
        return b == 0 ? a : of(b, a % b);
    }
}
if ((v = GCF.of(n, d)) != 0) {
    n = n / v;
    d = d / v;
}
if (n == 0) f = valueOf(i);
else if (i != 0) f = "%s %s/%s".formatted(i, n, d);
else f = "%s/%s".formatted(n, d);
Fractions
f := FloatToFraction(a);
New implementation...
< > ⌨
reilas 
a, b = str(a).split('.')
i, n = map(int, (a, b))
d = 10 ** len(b)
if value := gcd(n, d):
    n //= value
    d //= value
if not n:
    s = str(i)
elif not i:
    s = f'{n}/{d}'
else:
    s = f'{i} {n}/{d}'
f = Fraction(a)
def mixed_number(value) -> str:
    value = Fraction(str(value))
    signed = value < 0
    integer = 0
    n, d = value.as_integer_ratio()
    if signed:
        n = -n
    if n and (n > d):
        integer, n = divmod(n, d)
    if n == d:
        integer = n
        n = 0
    if not integer and n:
        s = f'{n}/{d}'
    elif not n:
        s = str(integer)
    else:
        s = f'{integer} {n}/{d}'
    if signed:
        s = f'-({s})'
    return s
F: str = mixed_number(A)
using namespace std;
string s {to_string(a)}, f;
regex p {"\\."};
sregex_token_iterator r {
    begin(s), end(s), p, -1
};
int i {stoi(*r)}, n {stoi(*++r)},
    d {int(pow(10, r->length()))},
    v {gcd(n, d)};
if (v) {
    n /= v;
    d /= v;
}
if (not n) f = to_string(i);
else {
    f = to_string(n) + '/' + to_string(d);
    if (i) f = to_string(i) + ' ' + f;
}
let s = a.toString(), f,
    [x, y] = s.split('.'),
    i = parseInt(x), n = parseInt(y),
    d = Math.pow(10, y.length),
    gcf = (a, b) => !b ? a : gcf(b, a % b),
    v = gcf(n, d)
if (v) {
    n /= v;
    d /= v;
}
if (!n) f = i.toString()
else {
    f = `${n}/${d}`
    if (i) f = `${i} ${f}`
}
String s[] = valueOf(a).split("\\."), f;
int i = parseInt(s[0]), n = parseInt(s[1]),
    d = (int) pow(10, s[1].length()), v;
record GCF() {
    static int of(int a, int b) {
        return b == 0 ? a : of(b, a % b);
    }
}
if ((v = GCF.of(n, d)) != 0) {
    n = n / v;
    d = d / v;
}
if (n == 0) f = valueOf(i);
else if (i != 0) f = "%s %s/%s".formatted(i, n, d);
else f = "%s/%s".formatted(n, d);
f := FloatToFraction(a);