Whakaoti i te 42div758+458*11/3-1+4

$$42 \div 758 + 458 \times 1 \frac { 1 } { 3 } - 1 + 4$$

Aromātai

$$\frac{697802}{1137}\approx 613.722075638$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{42}{758} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{21}{379}+458\times \frac{1\times 3+1}{3}-1+4$$

Whakareatia te 1 ki te 3, ka 3.

$$\frac{21}{379}+458\times \frac{3+1}{3}-1+4$$

Tāpirihia te 3 ki te 1, ka 4.

$$\frac{21}{379}+458\times \frac{4}{3}-1+4$$

Tuhia te 458\times \frac{4}{3} hei hautanga kotahi.

$$\frac{21}{379}+\frac{458\times 4}{3}-1+4$$

Whakareatia te 458 ki te 4, ka 1832.

$$\frac{21}{379}+\frac{1832}{3}-1+4$$

Ko te maha noa iti rawa atu o 379 me 3 ko 1137. Me tahuri \frac{21}{379} me \frac{1832}{3} ki te hautau me te tautūnga 1137.

$$\frac{63}{1137}+\frac{694328}{1137}-1+4$$

Tā te mea he rite te tauraro o \frac{63}{1137} me \frac{694328}{1137}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{63+694328}{1137}-1+4$$

Tāpirihia te 63 ki te 694328, ka 694391.

$$\frac{694391}{1137}-1+4$$

Me tahuri te 1 ki te hautau \frac{1137}{1137}.

$$\frac{694391}{1137}-\frac{1137}{1137}+4$$

Tā te mea he rite te tauraro o \frac{694391}{1137} me \frac{1137}{1137}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{694391-1137}{1137}+4$$

Tangohia te 1137 i te 694391, ka 693254.

$$\frac{693254}{1137}+4$$

Me tahuri te 4 ki te hautau \frac{4548}{1137}.

$$\frac{693254}{1137}+\frac{4548}{1137}$$

Tā te mea he rite te tauraro o \frac{693254}{1137} me \frac{4548}{1137}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{693254+4548}{1137}$$

Tāpirihia te 693254 ki te 4548, ka 697802.

$$\frac{697802}{1137}$$

Tauwehe

$$\frac{2 \cdot 7 \cdot 49843}{3 \cdot 379} = 613\frac{821}{1137} = 613.7220756376429$$