Whakaoti i te 5/8+3/20+-1/15

$$\frac { 5 } { 8 } + \frac { 3 } { 20 } + \frac { - 1 } { 15 }$$

Aromātai

$$\frac{17}{24}\approx 0.708333333$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 8 me 20 ko 40. Me tahuri \frac{5}{8} me \frac{3}{20} ki te hautau me te tautūnga 40.

$$\frac{25}{40}+\frac{6}{40}+\frac{-1}{15}$$

Tā te mea he rite te tauraro o \frac{25}{40} me \frac{6}{40}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{25+6}{40}+\frac{-1}{15}$$

Tāpirihia te 25 ki te 6, ka 31.

$$\frac{31}{40}+\frac{-1}{15}$$

Ka taea te hautanga \frac{-1}{15} te tuhi anō ko -\frac{1}{15} mā te tango i te tohu tōraro.

$$\frac{31}{40}-\frac{1}{15}$$

Ko te maha noa iti rawa atu o 40 me 15 ko 120. Me tahuri \frac{31}{40} me \frac{1}{15} ki te hautau me te tautūnga 120.

$$\frac{93}{120}-\frac{8}{120}$$

Tā te mea he rite te tauraro o \frac{93}{120} me \frac{8}{120}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{93-8}{120}$$

Tangohia te 8 i te 93, ka 85.

$$\frac{85}{120}$$

Whakahekea te hautanga \frac{85}{120} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{17}{24}$$

Tauwehe

$$\frac{17}{2 ^ {3} \cdot 3} = 0.7083333333333334$$