Whakaoti i te 5/8+(-7/15)+(3/32)+11/75

$$\frac { 5 } { 8 } + ( - \frac { 7 } { 15 } ) + ( \frac { 3 } { 32 } ) + \frac { 11 } { 75 }$$

Aromātai

$$\frac{319}{800}=0.39875$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 8 me 15 ko 120. Me tahuri \frac{5}{8} me \frac{7}{15} ki te hautau me te tautūnga 120.

$$\frac{75}{120}-\frac{56}{120}+\frac{3}{32}+\frac{11}{75}$$

Tā te mea he rite te tauraro o \frac{75}{120} me \frac{56}{120}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{75-56}{120}+\frac{3}{32}+\frac{11}{75}$$

Tangohia te 56 i te 75, ka 19.

$$\frac{19}{120}+\frac{3}{32}+\frac{11}{75}$$

Ko te maha noa iti rawa atu o 120 me 32 ko 480. Me tahuri \frac{19}{120} me \frac{3}{32} ki te hautau me te tautūnga 480.

$$\frac{76}{480}+\frac{45}{480}+\frac{11}{75}$$

Tā te mea he rite te tauraro o \frac{76}{480} me \frac{45}{480}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{76+45}{480}+\frac{11}{75}$$

Tāpirihia te 76 ki te 45, ka 121.

$$\frac{121}{480}+\frac{11}{75}$$

Ko te maha noa iti rawa atu o 480 me 75 ko 2400. Me tahuri \frac{121}{480} me \frac{11}{75} ki te hautau me te tautūnga 2400.

$$\frac{605}{2400}+\frac{352}{2400}$$

Tā te mea he rite te tauraro o \frac{605}{2400} me \frac{352}{2400}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{605+352}{2400}$$

Tāpirihia te 605 ki te 352, ka 957.

$$\frac{957}{2400}$$

Whakahekea te hautanga \frac{957}{2400} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{319}{800}$$

Tauwehe

$$\frac{11 \cdot 29}{2 ^ {5} \cdot 5 ^ {2}} = 0.39875$$