Whakaoti i te 2/15-42/40+47/60=

$$\frac { 2 } { 15 } - 4 \frac { 2 } { 40 } + \frac { 47 } { 60 } =$$

Aromātai

$$-\frac{47}{15}\approx -3.133333333$$

Ngā Upane Otinga

Whakareatia te 4 ki te 40, ka 160.

$$\frac{2}{15}-\frac{160+2}{40}+\frac{47}{60}$$

Tāpirihia te 160 ki te 2, ka 162.

$$\frac{2}{15}-\frac{162}{40}+\frac{47}{60}$$

Whakahekea te hautanga \frac{162}{40} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{2}{15}-\frac{81}{20}+\frac{47}{60}$$

Ko te maha noa iti rawa atu o 15 me 20 ko 60. Me tahuri \frac{2}{15} me \frac{81}{20} ki te hautau me te tautūnga 60.

$$\frac{8}{60}-\frac{243}{60}+\frac{47}{60}$$

Tā te mea he rite te tauraro o \frac{8}{60} me \frac{243}{60}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{8-243}{60}+\frac{47}{60}$$

Tangohia te 243 i te 8, ka -235.

$$\frac{-235}{60}+\frac{47}{60}$$

Whakahekea te hautanga \frac{-235}{60} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$-\frac{47}{12}+\frac{47}{60}$$

Ko te maha noa iti rawa atu o 12 me 60 ko 60. Me tahuri -\frac{47}{12} me \frac{47}{60} ki te hautau me te tautūnga 60.

$$-\frac{235}{60}+\frac{47}{60}$$

Tā te mea he rite te tauraro o -\frac{235}{60} me \frac{47}{60}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-235+47}{60}$$

Tāpirihia te -235 ki te 47, ka -188.

$$\frac{-188}{60}$$

Whakahekea te hautanga \frac{-188}{60} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$-\frac{47}{15}$$

Tauwehe

$$-\frac{47}{15} = -3\frac{2}{15} = -3.1333333333333333$$