Whakaoti i te 62/5+31/3+1/2-7/10

$$6 \frac { 2 } { 5 } + 3 \frac { 1 } { 3 } + \frac { 1 } { 2 } - \frac { 7 } { 10 }$$

Aromātai

$$\frac{143}{15}\approx 9.533333333$$

Ngā Upane Otinga

Whakareatia te 6 ki te 5, ka 30.

$$\frac{30+2}{5}+\frac{3\times 3+1}{3}+\frac{1}{2}-\frac{7}{10}$$

Tāpirihia te 30 ki te 2, ka 32.

$$\frac{32}{5}+\frac{3\times 3+1}{3}+\frac{1}{2}-\frac{7}{10}$$

Whakareatia te 3 ki te 3, ka 9.

$$\frac{32}{5}+\frac{9+1}{3}+\frac{1}{2}-\frac{7}{10}$$

Tāpirihia te 9 ki te 1, ka 10.

$$\frac{32}{5}+\frac{10}{3}+\frac{1}{2}-\frac{7}{10}$$

Ko te maha noa iti rawa atu o 5 me 3 ko 15. Me tahuri \frac{32}{5} me \frac{10}{3} ki te hautau me te tautūnga 15.

$$\frac{96}{15}+\frac{50}{15}+\frac{1}{2}-\frac{7}{10}$$

Tā te mea he rite te tauraro o \frac{96}{15} me \frac{50}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{96+50}{15}+\frac{1}{2}-\frac{7}{10}$$

Tāpirihia te 96 ki te 50, ka 146.

$$\frac{146}{15}+\frac{1}{2}-\frac{7}{10}$$

Ko te maha noa iti rawa atu o 15 me 2 ko 30. Me tahuri \frac{146}{15} me \frac{1}{2} ki te hautau me te tautūnga 30.

$$\frac{292}{30}+\frac{15}{30}-\frac{7}{10}$$

Tā te mea he rite te tauraro o \frac{292}{30} me \frac{15}{30}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{292+15}{30}-\frac{7}{10}$$

Tāpirihia te 292 ki te 15, ka 307.

$$\frac{307}{30}-\frac{7}{10}$$

Ko te maha noa iti rawa atu o 30 me 10 ko 30. Me tahuri \frac{307}{30} me \frac{7}{10} ki te hautau me te tautūnga 30.

$$\frac{307}{30}-\frac{21}{30}$$

Tā te mea he rite te tauraro o \frac{307}{30} me \frac{21}{30}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{307-21}{30}$$

Tangohia te 21 i te 307, ka 286.

$$\frac{286}{30}$$

Whakahekea te hautanga \frac{286}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{143}{15}$$

Tauwehe

$$\frac{11 \cdot 13}{3 \cdot 5} = 9\frac{8}{15} = 9.533333333333333$$