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A unit fractionis a fraction of the form 1/n for some nonzero integer n. Compute the number of ways we can write 1/60 as the sum of two distinct positive unit fractions. (The order of the fractions in the sum does not matter, so 1/2+1/3 would be considered the same sum as 1/3+1/2)

 Nov 28, 2021
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1 / a       1 / b

3660     61

1860     62

1260     63

960      64

780      65

660      66

510      68

460      69

420      70

360      72

300      75

285      76

260      78

240      80

210      84

204      85

180      90

160      96

150      100

135      108

120      120

110      132

105      140

Yo have 23 pairs that==1 / 60

 Nov 28, 2021

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