Nā hapa - 4
KA PILI
E hoʻohana i nā helu 1 a 9 ma ka nui o hoʻokahi manawa e hoʻopiha i nā pahu i loko o kēlā me kēia o kēia mau puzzle. E hana i kēia mau hakina ʻelua huahelu e kokoke loa i nā helu i manaʻo ʻia mai ka 1 a 5 e like me ka hiki, me ka ʻole o ka hoʻohālikelike ʻana i ka helu. No ka laʻana, ʻaʻole ʻae ʻia ka 85/ 17 = 5 ma ke ʻano he mea hoʻokūkū, akā ua maikaʻi ʻo 83/ 17 a kokoke iki i ka 5.


HE ʻAHOLAHA
E nānā i ka mea e hana ʻia no nā pahuhopu mai 6 a 10. He aha nā loli i kāu hoʻolālā no nā pahuhopu ma luna o kekahi waiwai?
Notes
KA HOʻOPIʻI A ME KA ʻIMI ʻANA
He ʻokoʻa ka helu i manaʻo ʻia he 1 mai nā pahuhopu ʻē aʻe.
I mea e kokoke ai i ka 1, pono mākou i ka helu helu a me ka denominator e like me ka hiki. No ka mea he ʻokoʻa ko lākou mau helu he ʻumi, a ʻaʻole hiki iā mākou ke hoʻohana i nā 0, ʻo ka mea kokoke loa hiki iā mākou ke loaʻa ʻo ʻelua ka mamao - no ka laʻana, ʻo 29 a me 31 e loaʻa ai ka 29/31 a i ʻole 31/29. ʻO ka mamao mai ka 1 he 2 ma luna o ka denominator. Ma ka mālama ʻana i ka laʻana, ʻo nā ʻokoʻa me 1 he 2/31 a me 2/29.
Me 2 ma ke ʻano he helu mau, makemake mākou e hoʻolilo i ka denominator i mea nui e like me ka hiki ke kokoke i ka 1. 91/89
ʻaʻole hana no ka mea hoʻohana ʻo ia i 9 i ʻelua manawa. No laila, ʻo 81/79 ka pane maikaʻi loa.
ʻOi aku ka maʻalahi no nā helu i manaʻo ʻia he nui aʻe ma mua o 1. E lawe i ka 6 ma ke ʻano he laʻana o ka pahuhopu. 96/16 = 6 pololei. No ka hoʻokokoke ʻana i kēlā, aia iā mākou kahi koho o 97/16 a i ʻole 95/16, ʻo lāua ʻelua kokoke like, ʻo 1/16 ka mamao.
ʻO nā pane:
- 1 81 / 79
- 2 95/48 a i ʻole 97/48
- 3 95/32 a i ʻole 97/32
- 4 95/24 a i ʻole 97/24
- 5 91 / 18
- 6 95/16 a i ʻole 97/16
- 7 97 / 14
- 8 95/12 a i ʻole 97/12
Ma luna o ka pahuhopu o 8, ʻo ka mea maikaʻi loa hiki iā mākou ke hana, ʻo ia ka 98/12 me ka nānā ʻole i ka helu i makemake ʻia. ʻAʻole hiki ke hoʻonui ʻia ka 98, a ʻaʻole hiki ke hoʻemi ʻia ka 12.