Whakaoti i te 23/4+13/8+23/10-35/24+1frac{8}{15}

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

Aromātai

$$5$$

Ngā Upane Otinga

Whakareatia te 2 ki te 4, ka 8.

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

Tāpirihia te 8 ki te 3, ka 11.

$$\frac{11}{4}+\frac{13}{8}+\frac{23}{10}-\frac{3\times 24+5}{24}+\frac{1\times 15+8}{15}$$

Ko te maha noa iti rawa atu o 4 me 8 ko 8. Me tahuri \frac{11}{4} me \frac{13}{8} ki te hautau me te tautūnga 8.

$$\frac{22}{8}+\frac{13}{8}+\frac{23}{10}-\frac{3\times 24+5}{24}+\frac{1\times 15+8}{15}$$

Tā te mea he rite te tauraro o \frac{22}{8} me \frac{13}{8}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{22+13}{8}+\frac{23}{10}-\frac{3\times 24+5}{24}+\frac{1\times 15+8}{15}$$

Tāpirihia te 22 ki te 13, ka 35.

$$\frac{35}{8}+\frac{23}{10}-\frac{3\times 24+5}{24}+\frac{1\times 15+8}{15}$$

Ko te maha noa iti rawa atu o 8 me 10 ko 40. Me tahuri \frac{35}{8} me \frac{23}{10} ki te hautau me te tautūnga 40.

$$\frac{175}{40}+\frac{92}{40}-\frac{3\times 24+5}{24}+\frac{1\times 15+8}{15}$$

Tā te mea he rite te tauraro o \frac{175}{40} me \frac{92}{40}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{175+92}{40}-\frac{3\times 24+5}{24}+\frac{1\times 15+8}{15}$$

Tāpirihia te 175 ki te 92, ka 267.

$$\frac{267}{40}-\frac{3\times 24+5}{24}+\frac{1\times 15+8}{15}$$

Whakareatia te 3 ki te 24, ka 72.

$$\frac{267}{40}-\frac{72+5}{24}+\frac{1\times 15+8}{15}$$

Tāpirihia te 72 ki te 5, ka 77.

$$\frac{267}{40}-\frac{77}{24}+\frac{1\times 15+8}{15}$$

Ko te maha noa iti rawa atu o 40 me 24 ko 120. Me tahuri \frac{267}{40} me \frac{77}{24} ki te hautau me te tautūnga 120.

$$\frac{801}{120}-\frac{385}{120}+\frac{1\times 15+8}{15}$$

Tā te mea he rite te tauraro o \frac{801}{120} me \frac{385}{120}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{801-385}{120}+\frac{1\times 15+8}{15}$$

Tangohia te 385 i te 801, ka 416.

$$\frac{416}{120}+\frac{1\times 15+8}{15}$$

Whakahekea te hautanga \frac{416}{120} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$\frac{52}{15}+\frac{1\times 15+8}{15}$$

Whakareatia te 1 ki te 15, ka 15.

$$\frac{52}{15}+\frac{15+8}{15}$$

Tāpirihia te 15 ki te 8, ka 23.

$$\frac{52}{15}+\frac{23}{15}$$

Tā te mea he rite te tauraro o \frac{52}{15} me \frac{23}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{52+23}{15}$$

Tāpirihia te 52 ki te 23, ka 75.

$$\frac{75}{15}$$

Whakawehea te 75 ki te 15, kia riro ko 5.

$$5$$

Tauwehe

$$5$$