+456 Fill in the blanks with three distinct positive integers.
1/___ + 1/___ + 1/___ = \frac{13}{12}
+1807
Fill in the blanks with three distinct positive integers.
1/___ + 1/___ + 1/___ = \frac{13}{12}
I answered this once before and my answer was good,
but then I saw a better answer. Here's the better answer.
1/2 + 1/3 + 1/4
6/12 + 4/12 + 3/12 = 13/12
.
+130503 13/12 = 1/1 + 1/12 = 1/1 + 1/13 + 1/156
The first fraction is easy....use the "Egyptian Method" to generate the last two....this will give us fractions with numerators =1
Second fraction denominator = invert the second fraction and add 1 = 12/1 + 1 = 13
Second fraction =1/13
Subtract 1/12 -1/13 to get the last fraction
112 -1/13 = [ 13 -12] / 156 =1/156
