Whakaoti i te 1/-2+1/3+1/5-3/4+frac{2}{9}-frac{5}{7}=

$$\frac { 1 } { - 2 } + \frac { 1 } { 3 } + \frac { 1 } { 5 } - \frac { 3 } { 4 } + \frac { 2 } { 9 } - \frac { 5 } { 7 } =$$

Aromātai

$$-\frac{1523}{1260}\approx -1.208730159$$

Ngā Upane Otinga

Ka taea te hautanga \frac{1}{-2} te tuhi anō ko -\frac{1}{2} mā te tango i te tohu tōraro.

$$-\frac{1}{2}+\frac{1}{3}+\frac{1}{5}-\frac{3}{4}+\frac{2}{9}-\frac{5}{7}$$

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri -\frac{1}{2} me \frac{1}{3} ki te hautau me te tautūnga 6.

$$-\frac{3}{6}+\frac{2}{6}+\frac{1}{5}-\frac{3}{4}+\frac{2}{9}-\frac{5}{7}$$

Tā te mea he rite te tauraro o -\frac{3}{6} me \frac{2}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-3+2}{6}+\frac{1}{5}-\frac{3}{4}+\frac{2}{9}-\frac{5}{7}$$

Tāpirihia te -3 ki te 2, ka -1.

$$-\frac{1}{6}+\frac{1}{5}-\frac{3}{4}+\frac{2}{9}-\frac{5}{7}$$

Ko te maha noa iti rawa atu o 6 me 5 ko 30. Me tahuri -\frac{1}{6} me \frac{1}{5} ki te hautau me te tautūnga 30.

$$-\frac{5}{30}+\frac{6}{30}-\frac{3}{4}+\frac{2}{9}-\frac{5}{7}$$

Tā te mea he rite te tauraro o -\frac{5}{30} me \frac{6}{30}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-5+6}{30}-\frac{3}{4}+\frac{2}{9}-\frac{5}{7}$$

Tāpirihia te -5 ki te 6, ka 1.

$$\frac{1}{30}-\frac{3}{4}+\frac{2}{9}-\frac{5}{7}$$

Ko te maha noa iti rawa atu o 30 me 4 ko 60. Me tahuri \frac{1}{30} me \frac{3}{4} ki te hautau me te tautūnga 60.

$$\frac{2}{60}-\frac{45}{60}+\frac{2}{9}-\frac{5}{7}$$

Tā te mea he rite te tauraro o \frac{2}{60} me \frac{45}{60}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{2-45}{60}+\frac{2}{9}-\frac{5}{7}$$

Tangohia te 45 i te 2, ka -43.

$$-\frac{43}{60}+\frac{2}{9}-\frac{5}{7}$$

Ko te maha noa iti rawa atu o 60 me 9 ko 180. Me tahuri -\frac{43}{60} me \frac{2}{9} ki te hautau me te tautūnga 180.

$$-\frac{129}{180}+\frac{40}{180}-\frac{5}{7}$$

Tā te mea he rite te tauraro o -\frac{129}{180} me \frac{40}{180}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-129+40}{180}-\frac{5}{7}$$

Tāpirihia te -129 ki te 40, ka -89.

$$-\frac{89}{180}-\frac{5}{7}$$

Ko te maha noa iti rawa atu o 180 me 7 ko 1260. Me tahuri -\frac{89}{180} me \frac{5}{7} ki te hautau me te tautūnga 1260.

$$-\frac{623}{1260}-\frac{900}{1260}$$

Tā te mea he rite te tauraro o -\frac{623}{1260} me \frac{900}{1260}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-623-900}{1260}$$

Tangohia te 900 i te -623, ka -1523.

$$-\frac{1523}{1260}$$

Tauwehe

$$-\frac{1523}{1260} = -1\frac{263}{1260} = -1.2087301587301587$$