Whakaoti i te 1513/15+(-21.34)+142/15+(-633/50)

$$15 \frac { 13 } { 15 } + ( - 21.34 ) + 14 \frac { 2 } { 15 } + ( - 6 \frac { 33 } { 50 } )$$

Aromātai

$$2$$

Ngā Upane Otinga

Whakareatia te 15 ki te 15, ka 225.

$$\frac{225+13}{15}-21.34+\frac{14\times 15+2}{15}-\frac{6\times 50+33}{50}$$

Tāpirihia te 225 ki te 13, ka 238.

$$\frac{238}{15}-21.34+\frac{14\times 15+2}{15}-\frac{6\times 50+33}{50}$$

Me tahuri ki tau ā-ira 21.34 ki te hautau \frac{2134}{100}. Whakahekea te hautanga \frac{2134}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{238}{15}-\frac{1067}{50}+\frac{14\times 15+2}{15}-\frac{6\times 50+33}{50}$$

Ko te maha noa iti rawa atu o 15 me 50 ko 150. Me tahuri \frac{238}{15} me \frac{1067}{50} ki te hautau me te tautūnga 150.

$$\frac{2380}{150}-\frac{3201}{150}+\frac{14\times 15+2}{15}-\frac{6\times 50+33}{50}$$

Tā te mea he rite te tauraro o \frac{2380}{150} me \frac{3201}{150}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{2380-3201}{150}+\frac{14\times 15+2}{15}-\frac{6\times 50+33}{50}$$

Tangohia te 3201 i te 2380, ka -821.

$$-\frac{821}{150}+\frac{14\times 15+2}{15}-\frac{6\times 50+33}{50}$$

Whakareatia te 14 ki te 15, ka 210.

$$-\frac{821}{150}+\frac{210+2}{15}-\frac{6\times 50+33}{50}$$

Tāpirihia te 210 ki te 2, ka 212.

$$-\frac{821}{150}+\frac{212}{15}-\frac{6\times 50+33}{50}$$

Ko te maha noa iti rawa atu o 150 me 15 ko 150. Me tahuri -\frac{821}{150} me \frac{212}{15} ki te hautau me te tautūnga 150.

$$-\frac{821}{150}+\frac{2120}{150}-\frac{6\times 50+33}{50}$$

Tā te mea he rite te tauraro o -\frac{821}{150} me \frac{2120}{150}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-821+2120}{150}-\frac{6\times 50+33}{50}$$

Tāpirihia te -821 ki te 2120, ka 1299.

$$\frac{1299}{150}-\frac{6\times 50+33}{50}$$

Whakahekea te hautanga \frac{1299}{150} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{433}{50}-\frac{6\times 50+33}{50}$$

Whakareatia te 6 ki te 50, ka 300.

$$\frac{433}{50}-\frac{300+33}{50}$$

Tāpirihia te 300 ki te 33, ka 333.

$$\frac{433}{50}-\frac{333}{50}$$

Tā te mea he rite te tauraro o \frac{433}{50} me \frac{333}{50}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{433-333}{50}$$

Tangohia te 333 i te 433, ka 100.

$$\frac{100}{50}$$

Whakawehea te 100 ki te 50, kia riro ko 2.

$$2$$

Tauwehe

$$2$$