Whakaoti i te 3/7-4/5-8/9+3

$$\frac { 3 } { 7 } - \frac { 4 } { 5 } - \frac { 8 } { 9 } + 3$$

Aromātai

$$\frac{548}{315}\approx 1.73968254$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 7 me 5 ko 35. Me tahuri \frac{3}{7} me \frac{4}{5} ki te hautau me te tautūnga 35.

$$\frac{15}{35}-\frac{28}{35}-\frac{8}{9}+3$$

Tā te mea he rite te tauraro o \frac{15}{35} me \frac{28}{35}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{15-28}{35}-\frac{8}{9}+3$$

Tangohia te 28 i te 15, ka -13.

$$-\frac{13}{35}-\frac{8}{9}+3$$

Ko te maha noa iti rawa atu o 35 me 9 ko 315. Me tahuri -\frac{13}{35} me \frac{8}{9} ki te hautau me te tautūnga 315.

$$-\frac{117}{315}-\frac{280}{315}+3$$

Tā te mea he rite te tauraro o -\frac{117}{315} me \frac{280}{315}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-117-280}{315}+3$$

Tangohia te 280 i te -117, ka -397.

$$-\frac{397}{315}+3$$

Me tahuri te 3 ki te hautau \frac{945}{315}.

$$-\frac{397}{315}+\frac{945}{315}$$

Tā te mea he rite te tauraro o -\frac{397}{315} me \frac{945}{315}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-397+945}{315}$$

Tāpirihia te -397 ki te 945, ka 548.

$$\frac{548}{315}$$

Tauwehe

$$\frac{2 ^ {2} \cdot 137}{3 ^ {2} \cdot 5 \cdot 7} = 1\frac{233}{315} = 1.7396825396825397$$