Whakaoti i te 1/8(160/17+160/25+36)

$$\frac { 1 } { 8 } ( \frac { 160 } { 17 } + \frac { 160 } { 25 } + 36 )$$

Aromātai

$$\frac{1101}{170}\approx 6.476470588$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{160}{25} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{1}{8}\left(\frac{160}{17}+\frac{32}{5}+36\right)$$

Ko te maha noa iti rawa atu o 17 me 5 ko 85. Me tahuri \frac{160}{17} me \frac{32}{5} ki te hautau me te tautūnga 85.

$$\frac{1}{8}\left(\frac{800}{85}+\frac{544}{85}+36\right)$$

Tā te mea he rite te tauraro o \frac{800}{85} me \frac{544}{85}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1}{8}\left(\frac{800+544}{85}+36\right)$$

Tāpirihia te 800 ki te 544, ka 1344.

$$\frac{1}{8}\left(\frac{1344}{85}+36\right)$$

Me tahuri te 36 ki te hautau \frac{3060}{85}.

$$\frac{1}{8}\left(\frac{1344}{85}+\frac{3060}{85}\right)$$

Tā te mea he rite te tauraro o \frac{1344}{85} me \frac{3060}{85}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1}{8}\times \frac{1344+3060}{85}$$

Tāpirihia te 1344 ki te 3060, ka 4404.

$$\frac{1}{8}\times \frac{4404}{85}$$

Me whakarea te \frac{1}{8} ki te \frac{4404}{85} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\times 4404}{8\times 85}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 4404}{8\times 85}.

$$\frac{4404}{680}$$

Whakahekea te hautanga \frac{4404}{680} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{1101}{170}$$

Tauwehe

$$\frac{3 \cdot 367}{2 \cdot 5 \cdot 17} = 6\frac{81}{170} = 6.476470588235294$$