Whakaoti i te 2(3/4)+13/8+23/10-3(5/24)+1(frac{8}{15})

$$2( \frac{ 3 }{ 4 } )+ \frac{ 13 }{ 8 } + \frac{ 23 }{ 10 } -3( \frac{ 5 }{ 24 } )+1( \frac{ 8 }{ 15 } )$$

Aromātai

$$\frac{16}{3}\approx 5.333333333$$

Ngā Upane Otinga

Tuhia te 2\times \frac{3}{4} hei hautanga kotahi.

$$\frac{2\times 3}{4}+\frac{13}{8}+\frac{23}{10}-3\times \frac{5}{24}+1\times \frac{8}{15}$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{6}{4}+\frac{13}{8}+\frac{23}{10}-3\times \frac{5}{24}+1\times \frac{8}{15}$$

Whakahekea te hautanga \frac{6}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{3}{2}+\frac{13}{8}+\frac{23}{10}-3\times \frac{5}{24}+1\times \frac{8}{15}$$

Ko te maha noa iti rawa atu o 2 me 8 ko 8. Me tahuri \frac{3}{2} me \frac{13}{8} ki te hautau me te tautūnga 8.

$$\frac{12}{8}+\frac{13}{8}+\frac{23}{10}-3\times \frac{5}{24}+1\times \frac{8}{15}$$

Tā te mea he rite te tauraro o \frac{12}{8} me \frac{13}{8}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{12+13}{8}+\frac{23}{10}-3\times \frac{5}{24}+1\times \frac{8}{15}$$

Tāpirihia te 12 ki te 13, ka 25.

$$\frac{25}{8}+\frac{23}{10}-3\times \frac{5}{24}+1\times \frac{8}{15}$$

Ko te maha noa iti rawa atu o 8 me 10 ko 40. Me tahuri \frac{25}{8} me \frac{23}{10} ki te hautau me te tautūnga 40.

$$\frac{125}{40}+\frac{92}{40}-3\times \frac{5}{24}+1\times \frac{8}{15}$$

Tā te mea he rite te tauraro o \frac{125}{40} me \frac{92}{40}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{125+92}{40}-3\times \frac{5}{24}+1\times \frac{8}{15}$$

Tāpirihia te 125 ki te 92, ka 217.

$$\frac{217}{40}-3\times \frac{5}{24}+1\times \frac{8}{15}$$

Tuhia te 3\times \frac{5}{24} hei hautanga kotahi.

$$\frac{217}{40}-\frac{3\times 5}{24}+1\times \frac{8}{15}$$

Whakareatia te 3 ki te 5, ka 15.

$$\frac{217}{40}-\frac{15}{24}+1\times \frac{8}{15}$$

Whakahekea te hautanga \frac{15}{24} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{217}{40}-\frac{5}{8}+1\times \frac{8}{15}$$

Ko te maha noa iti rawa atu o 40 me 8 ko 40. Me tahuri \frac{217}{40} me \frac{5}{8} ki te hautau me te tautūnga 40.

$$\frac{217}{40}-\frac{25}{40}+1\times \frac{8}{15}$$

Tā te mea he rite te tauraro o \frac{217}{40} me \frac{25}{40}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{217-25}{40}+1\times \frac{8}{15}$$

Tangohia te 25 i te 217, ka 192.

$$\frac{192}{40}+1\times \frac{8}{15}$$

Whakahekea te hautanga \frac{192}{40} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$\frac{24}{5}+1\times \frac{8}{15}$$

Whakareatia te 1 ki te \frac{8}{15}, ka \frac{8}{15}.

$$\frac{24}{5}+\frac{8}{15}$$

Ko te maha noa iti rawa atu o 5 me 15 ko 15. Me tahuri \frac{24}{5} me \frac{8}{15} ki te hautau me te tautūnga 15.

$$\frac{72}{15}+\frac{8}{15}$$

Tā te mea he rite te tauraro o \frac{72}{15} me \frac{8}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{72+8}{15}$$

Tāpirihia te 72 ki te 8, ka 80.

$$\frac{80}{15}$$

Whakahekea te hautanga \frac{80}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{16}{3}$$

Tauwehe

$$\frac{2 ^ {4}}{3} = 5\frac{1}{3} = 5.333333333333333$$