Whakaoti i te 1/3+5/7-8/70

$$\frac { 1 } { 3 } + \frac { 5 } { 7 } - \frac { 8 } { 70 }$$

Aromātai

$$\frac{14}{15}\approx 0.933333333$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 3 me 7 ko 21. Me tahuri \frac{1}{3} me \frac{5}{7} ki te hautau me te tautūnga 21.

$$\frac{7}{21}+\frac{15}{21}-\frac{8}{70}$$

Tā te mea he rite te tauraro o \frac{7}{21} me \frac{15}{21}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{7+15}{21}-\frac{8}{70}$$

Tāpirihia te 7 ki te 15, ka 22.

$$\frac{22}{21}-\frac{8}{70}$$

Whakahekea te hautanga \frac{8}{70} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{22}{21}-\frac{4}{35}$$

Ko te maha noa iti rawa atu o 21 me 35 ko 105. Me tahuri \frac{22}{21} me \frac{4}{35} ki te hautau me te tautūnga 105.

$$\frac{110}{105}-\frac{12}{105}$$

Tā te mea he rite te tauraro o \frac{110}{105} me \frac{12}{105}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{110-12}{105}$$

Tangohia te 12 i te 110, ka 98.

$$\frac{98}{105}$$

Whakahekea te hautanga \frac{98}{105} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{14}{15}$$

Tauwehe

$$\frac{2 \cdot 7}{3 \cdot 5} = 0.9333333333333333$$