Mini-challenge: digits by half

[David Hayden]

Here's a fun little diversion from The Calculator Game Book by Arlene Hartman (1977) page 88.

Half a Loaf Suggested grade span - 7 and up

This puzzler should not be attempted unless you have lots of time and patience. We saw in Chapter 5 (#13) a special quotient which used each of the digits 1-9, the answer for which was 9. Therefore, the unit fraction 1/9 can be found by 6381/57429. Check to see if their decimal equivalents are the same.

There is also a fraction which uses each of the digits 1-9 exactly once which equals 1/2. Can you find it? (A hint to save some time - the numerator begins with 6; the denominator with 1.)