Whakaoti i te (+1/2)+41+(-1/4)+(-101)+7

$$( + \frac { 1 } { 2 } ) + 41 + ( - \frac { 1 } { 4 } ) + ( - 101 ) + 7$$

Aromātai

$$-\frac{211}{4}=-52.75$$

Ngā Upane Otinga

Me tahuri te 41 ki te hautau \frac{82}{2}.

$$\frac{1}{2}+\frac{82}{2}-\frac{1}{4}-101+7$$

Tā te mea he rite te tauraro o \frac{1}{2} me \frac{82}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1+82}{2}-\frac{1}{4}-101+7$$

Tāpirihia te 1 ki te 82, ka 83.

$$\frac{83}{2}-\frac{1}{4}-101+7$$

Ko te maha noa iti rawa atu o 2 me 4 ko 4. Me tahuri \frac{83}{2} me \frac{1}{4} ki te hautau me te tautūnga 4.

$$\frac{166}{4}-\frac{1}{4}-101+7$$

Tā te mea he rite te tauraro o \frac{166}{4} me \frac{1}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{166-1}{4}-101+7$$

Tangohia te 1 i te 166, ka 165.

$$\frac{165}{4}-101+7$$

Me tahuri te 101 ki te hautau \frac{404}{4}.

$$\frac{165}{4}-\frac{404}{4}+7$$

Tā te mea he rite te tauraro o \frac{165}{4} me \frac{404}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{165-404}{4}+7$$

Tangohia te 404 i te 165, ka -239.

$$-\frac{239}{4}+7$$

Me tahuri te 7 ki te hautau \frac{28}{4}.

$$-\frac{239}{4}+\frac{28}{4}$$

Tā te mea he rite te tauraro o -\frac{239}{4} me \frac{28}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-239+28}{4}$$

Tāpirihia te -239 ki te 28, ka -211.

$$-\frac{211}{4}$$

Tauwehe

$$-\frac{211}{4} = -52\frac{3}{4} = -52.75$$