Whakaoti i te {8/35+[(3/2-33/35)+(3/14-frac{2}{35})-(2-frac{12}{7}+frac{5}{14})]}*3frac{1}{3}

$$\{ \frac { 8 } { 35 } + [ ( \frac { 3 } { 2 } - \frac { 33 } { 35 } ) + ( \frac { 3 } { 14 } - \frac { 2 } { 35 } ) - ( 2 - \frac { 12 } { 7 } + \frac { 5 } { 14 } ) ] \} \cdot 3 \frac { 1 } { 3 }$$

Aromātai

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Ngā Upane Otinga

Ko te maha noa iti rawa atu o 2 me 35 ko 70. Me tahuri \frac{3}{2} me \frac{33}{35} ki te hautau me te tautūnga 70.

$$\left(\frac{8}{35}+\frac{105}{70}-\frac{66}{70}+\frac{3}{14}-\frac{2}{35}-\left(2-\frac{12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

Tā te mea he rite te tauraro o \frac{105}{70} me \frac{66}{70}, me tango rāua mā te tango i ō raua taurunga.

$$\left(\frac{8}{35}+\frac{105-66}{70}+\frac{3}{14}-\frac{2}{35}-\left(2-\frac{12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

Tangohia te 66 i te 105, ka 39.

$$\left(\frac{8}{35}+\frac{39}{70}+\frac{3}{14}-\frac{2}{35}-\left(2-\frac{12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

Ko te maha noa iti rawa atu o 70 me 14 ko 70. Me tahuri \frac{39}{70} me \frac{3}{14} ki te hautau me te tautūnga 70.

$$\left(\frac{8}{35}+\frac{39}{70}+\frac{15}{70}-\frac{2}{35}-\left(2-\frac{12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

Tā te mea he rite te tauraro o \frac{39}{70} me \frac{15}{70}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\left(\frac{8}{35}+\frac{39+15}{70}-\frac{2}{35}-\left(2-\frac{12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

Tāpirihia te 39 ki te 15, ka 54.

$$\left(\frac{8}{35}+\frac{54}{70}-\frac{2}{35}-\left(2-\frac{12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

Whakahekea te hautanga \frac{54}{70} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\left(\frac{8}{35}+\frac{27}{35}-\frac{2}{35}-\left(2-\frac{12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

Tā te mea he rite te tauraro o \frac{27}{35} me \frac{2}{35}, me tango rāua mā te tango i ō raua taurunga.

$$\left(\frac{8}{35}+\frac{27-2}{35}-\left(2-\frac{12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

Tangohia te 2 i te 27, ka 25.

$$\left(\frac{8}{35}+\frac{25}{35}-\left(2-\frac{12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

Whakahekea te hautanga \frac{25}{35} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\left(\frac{8}{35}+\frac{5}{7}-\left(2-\frac{12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

Me tahuri te 2 ki te hautau \frac{14}{7}.

$$\left(\frac{8}{35}+\frac{5}{7}-\left(\frac{14}{7}-\frac{12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

Tā te mea he rite te tauraro o \frac{14}{7} me \frac{12}{7}, me tango rāua mā te tango i ō raua taurunga.

$$\left(\frac{8}{35}+\frac{5}{7}-\left(\frac{14-12}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

Tangohia te 12 i te 14, ka 2.

$$\left(\frac{8}{35}+\frac{5}{7}-\left(\frac{2}{7}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

Ko te maha noa iti rawa atu o 7 me 14 ko 14. Me tahuri \frac{2}{7} me \frac{5}{14} ki te hautau me te tautūnga 14.

$$\left(\frac{8}{35}+\frac{5}{7}-\left(\frac{4}{14}+\frac{5}{14}\right)\right)\times \frac{3\times 3+1}{3}$$

Tā te mea he rite te tauraro o \frac{4}{14} me \frac{5}{14}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\left(\frac{8}{35}+\frac{5}{7}-\frac{4+5}{14}\right)\times \frac{3\times 3+1}{3}$$

Tāpirihia te 4 ki te 5, ka 9.

$$\left(\frac{8}{35}+\frac{5}{7}-\frac{9}{14}\right)\times \frac{3\times 3+1}{3}$$

Ko te maha noa iti rawa atu o 7 me 14 ko 14. Me tahuri \frac{5}{7} me \frac{9}{14} ki te hautau me te tautūnga 14.

$$\left(\frac{8}{35}+\frac{10}{14}-\frac{9}{14}\right)\times \frac{3\times 3+1}{3}$$

Tā te mea he rite te tauraro o \frac{10}{14} me \frac{9}{14}, me tango rāua mā te tango i ō raua taurunga.

$$\left(\frac{8}{35}+\frac{10-9}{14}\right)\times \frac{3\times 3+1}{3}$$

Tangohia te 9 i te 10, ka 1.

$$\left(\frac{8}{35}+\frac{1}{14}\right)\times \frac{3\times 3+1}{3}$$

Ko te maha noa iti rawa atu o 35 me 14 ko 70. Me tahuri \frac{8}{35} me \frac{1}{14} ki te hautau me te tautūnga 70.

$$\left(\frac{16}{70}+\frac{5}{70}\right)\times \frac{3\times 3+1}{3}$$

Tā te mea he rite te tauraro o \frac{16}{70} me \frac{5}{70}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{16+5}{70}\times \frac{3\times 3+1}{3}$$

Tāpirihia te 16 ki te 5, ka 21.

$$\frac{21}{70}\times \frac{3\times 3+1}{3}$$

Whakahekea te hautanga \frac{21}{70} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{3}{10}\times \frac{3\times 3+1}{3}$$

Whakareatia te 3 ki te 3, ka 9.

$$\frac{3}{10}\times \frac{9+1}{3}$$

Tāpirihia te 9 ki te 1, ka 10.

$$\frac{3}{10}\times \frac{10}{3}$$

Me whakakore atu te \frac{3}{10} me tōna tau utu \frac{10}{3}.

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Tauwehe

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