[Prof. Templeton]

Bonanova "Sums" puzzles got me thinking of other ways to make 100 using all the numbers from 1 through 9. This one is a bit different, however. How many ways can you express 100 as a mixed number using all whole digit 1 through 9? Meaning as a fraction, without signs or exponents or anything of that sort.

96²¹⁴⁸/₅₃₇

[peace*out]

Bonanova "Sums" puzzles got me thinking of other ways to make 100 using all the numbers from 1 through 9. This one is a bit different, however. How many ways can you express 100 as a mixed number using all whole digit 1 through 9? Meaning as a fraction, without signs or exponents or anything of that sort.

96²¹⁴⁸/₅₃₇

im just wondering: isn't that a improper fraction? Is this topic open to both improper fractions and mixed numbers?

[Prof. Templeton]

im just wondering: isn't that a improper fraction? Is this topic open to both improper fractions and mixed numbers?

It's not reduced, true.

[Guest]

Here's one

1000 2345678.9/23456789

[Prof. Templeton]

Here's one

1000 2345678.9/23456789

Maybe I should have stated "using all the digits 1 through 9 once" Anywho, you've got 1000.1 there. Oh, and no complex fractions, only those like the example I gave.

[Guest]

Fine, but I still like my answer.

Edited February 3, 2009 by Largaroth

[Guest]

Maybe I should have stated "using all the digits 1 through 9 once" Anywho, you've got 1000.1 there. Oh, and no complex fractions, only those like the example I gave.

I noticed that. That's why I used my numbers more than once. But it works doesn't it?

[peace*out]

I noticed that. That's why I used my numbers more than once. But it works doesn't it?

100o.1 isn't that same as 100

[Prof. Templeton]

I noticed that. That's why I used my numbers more than once. But it works doesn't it?

Nope. A mixed number like I'm looking for is basicly saying X + ^Y/_Z, like 1¹/₂ is 1 plus a half. So you have 1000.1 with you're number. You would have to multiple them in your example, 1000 times .1 equals 100. In the example I gave the fraction reduces to ⁴/₁ or just 4 added to the 96.

[Guest]

100o.1 isn't that same as 100

Yup!

[Pickett]

Here are all of the answers that follow the example given:

3 ⁶⁹²⁵⁸/₇₁₄

81 ⁵⁶⁴³/₂₉₇

81 ⁷⁵²⁴/₃₉₆

82 ³⁵⁴⁶/₁₉₇

91 ⁵⁷⁴²/₆₃₈

91 ⁵⁸²³/₆₄₇

91 ⁷⁵²⁴/₈₃₆

94 ¹⁵⁷⁸/₂₆₃

96 ¹⁴²⁸/₃₅₇

96 ¹⁷⁵²/₄₃₈

96 ²¹⁴⁸/₅₃₇

I wrote a small Java program to find them all for me :c) Don't know if that's cheating, but I think it was a completely valid way to solve that riddle.

Great riddle, it was fun.

[Prof. Templeton]

Here are all of the answers that follow the example given:

3 ⁶⁹²⁵⁸/₇₁₄

81 ⁵⁶⁴³/₂₉₇

81 ⁷⁵²⁴/₃₉₆

82 ³⁵⁴⁶/₁₉₇

91 ⁵⁷⁴²/₆₃₈

91 ⁵⁸²³/₆₄₇

91 ⁷⁵²⁴/₈₃₆

94 ¹⁵⁷⁸/₂₆₃

96 ¹⁴²⁸/₃₅₇

96 ¹⁷⁵²/₄₃₈

96 ²¹⁴⁸/₅₃₇

I wrote a small Java program to find them all for me :c) Don't know if that's cheating, but I think it was a completely valid way to solve that riddle.

Great riddle, it was fun.

That's them. I fully expected someone to do some kind of spreadsheet to come up with them. I thought the first one you listed might be harder to determine. Good job.