Whakaoti i te 3/4+9018div9+7/4-8/3

$$\frac { 3 } { 4 } + 9018 \div 9 + \frac { 7 } { 4 } - \frac { 8 } { 3 }$$

Aromātai

$$\frac{6011}{6}\approx 1001.833333333$$

Ngā Upane Otinga

Whakawehea te 9018 ki te 9, kia riro ko 1002.

$$\frac{3}{4}+1002+\frac{7}{4}-\frac{8}{3}$$

Me tahuri te 1002 ki te hautau \frac{4008}{4}.

$$\frac{3}{4}+\frac{4008}{4}+\frac{7}{4}-\frac{8}{3}$$

Tā te mea he rite te tauraro o \frac{3}{4} me \frac{4008}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3+4008}{4}+\frac{7}{4}-\frac{8}{3}$$

Tāpirihia te 3 ki te 4008, ka 4011.

$$\frac{4011}{4}+\frac{7}{4}-\frac{8}{3}$$

Tā te mea he rite te tauraro o \frac{4011}{4} me \frac{7}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{4011+7}{4}-\frac{8}{3}$$

Tāpirihia te 4011 ki te 7, ka 4018.

$$\frac{4018}{4}-\frac{8}{3}$$

Whakahekea te hautanga \frac{4018}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{2009}{2}-\frac{8}{3}$$

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri \frac{2009}{2} me \frac{8}{3} ki te hautau me te tautūnga 6.

$$\frac{6027}{6}-\frac{16}{6}$$

Tā te mea he rite te tauraro o \frac{6027}{6} me \frac{16}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{6027-16}{6}$$

Tangohia te 16 i te 6027, ka 6011.

$$\frac{6011}{6}$$

Tauwehe

$$\frac{6011}{2 \cdot 3} = 1001\frac{5}{6} = 1001.8333333333334$$