Whakaoti i te -1/10+7/8-314/100-782/1000+frac{628}{100}

$$- \frac{ 1 }{ 10 } + \frac{ 7 }{ 8 } - \frac{ 314 }{ 100 } - \frac{ 782 }{ 1000 } + \frac{ 628 }{ 100 }$$

Aromātai

$$\frac{3133}{1000}=3.133$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 10 me 8 ko 40. Me tahuri -\frac{1}{10} me \frac{7}{8} ki te hautau me te tautūnga 40.

$$-\frac{4}{40}+\frac{35}{40}-\frac{314}{100}-\frac{782}{1000}+\frac{628}{100}$$

Tā te mea he rite te tauraro o -\frac{4}{40} me \frac{35}{40}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-4+35}{40}-\frac{314}{100}-\frac{782}{1000}+\frac{628}{100}$$

Tāpirihia te -4 ki te 35, ka 31.

$$\frac{31}{40}-\frac{314}{100}-\frac{782}{1000}+\frac{628}{100}$$

Whakahekea te hautanga \frac{314}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{31}{40}-\frac{157}{50}-\frac{782}{1000}+\frac{628}{100}$$

Ko te maha noa iti rawa atu o 40 me 50 ko 200. Me tahuri \frac{31}{40} me \frac{157}{50} ki te hautau me te tautūnga 200.

$$\frac{155}{200}-\frac{628}{200}-\frac{782}{1000}+\frac{628}{100}$$

Tā te mea he rite te tauraro o \frac{155}{200} me \frac{628}{200}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{155-628}{200}-\frac{782}{1000}+\frac{628}{100}$$

Tangohia te 628 i te 155, ka -473.

$$-\frac{473}{200}-\frac{782}{1000}+\frac{628}{100}$$

Whakahekea te hautanga \frac{782}{1000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{473}{200}-\frac{391}{500}+\frac{628}{100}$$

Ko te maha noa iti rawa atu o 200 me 500 ko 1000. Me tahuri -\frac{473}{200} me \frac{391}{500} ki te hautau me te tautūnga 1000.

$$-\frac{2365}{1000}-\frac{782}{1000}+\frac{628}{100}$$

Tā te mea he rite te tauraro o -\frac{2365}{1000} me \frac{782}{1000}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-2365-782}{1000}+\frac{628}{100}$$

Tangohia te 782 i te -2365, ka -3147.

$$-\frac{3147}{1000}+\frac{628}{100}$$

Whakahekea te hautanga \frac{628}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$-\frac{3147}{1000}+\frac{157}{25}$$

Ko te maha noa iti rawa atu o 1000 me 25 ko 1000. Me tahuri -\frac{3147}{1000} me \frac{157}{25} ki te hautau me te tautūnga 1000.

$$-\frac{3147}{1000}+\frac{6280}{1000}$$

Tā te mea he rite te tauraro o -\frac{3147}{1000} me \frac{6280}{1000}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-3147+6280}{1000}$$

Tāpirihia te -3147 ki te 6280, ka 3133.

$$\frac{3133}{1000}$$

Tauwehe

$$\frac{13 \cdot 241}{2 ^ {3} \cdot 5 ^ {3}} = 3\frac{133}{1000} = 3.133$$