Whakaoti i te 4(16/3+3)-5(32/3-6)=2(64/3-3)+16/3

$$4( \frac{ 16 }{ 3 } +3)-5( \frac{ 32 }{ 3 } -6)=2( \frac{ 64 }{ 3 } -3)+ \frac{ 16 }{ 3 }$$

Manatoko

Ngā Upane Otinga

Me tahuri te 3 ki te hautau \frac{9}{3}.

$$4\left(\frac{16}{3}+\frac{9}{3}\right)-5\left(\frac{32}{3}-6\right)=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

Tā te mea he rite te tauraro o \frac{16}{3} me \frac{9}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$4\times \frac{16+9}{3}-5\left(\frac{32}{3}-6\right)=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

Tāpirihia te 16 ki te 9, ka 25.

$$4\times \frac{25}{3}-5\left(\frac{32}{3}-6\right)=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

Tuhia te 4\times \frac{25}{3} hei hautanga kotahi.

$$\frac{4\times 25}{3}-5\left(\frac{32}{3}-6\right)=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

Whakareatia te 4 ki te 25, ka 100.

$$\frac{100}{3}-5\left(\frac{32}{3}-6\right)=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

Me tahuri te 6 ki te hautau \frac{18}{3}.

$$\frac{100}{3}-5\left(\frac{32}{3}-\frac{18}{3}\right)=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

Tā te mea he rite te tauraro o \frac{32}{3} me \frac{18}{3}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{100}{3}-5\times \frac{32-18}{3}=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

Tangohia te 18 i te 32, ka 14.

$$\frac{100}{3}-5\times \frac{14}{3}=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

Tuhia te 5\times \frac{14}{3} hei hautanga kotahi.

$$\frac{100}{3}-\frac{5\times 14}{3}=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

Whakareatia te 5 ki te 14, ka 70.

$$\frac{100}{3}-\frac{70}{3}=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

Tā te mea he rite te tauraro o \frac{100}{3} me \frac{70}{3}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{100-70}{3}=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

Tangohia te 70 i te 100, ka 30.

$$\frac{30}{3}=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

Whakawehea te 30 ki te 3, kia riro ko 10.

$$10=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

Me tahuri te 3 ki te hautau \frac{9}{3}.

$$10=2\left(\frac{64}{3}-\frac{9}{3}\right)+\frac{16}{3}$$

Tā te mea he rite te tauraro o \frac{64}{3} me \frac{9}{3}, me tango rāua mā te tango i ō raua taurunga.

$$10=2\times \frac{64-9}{3}+\frac{16}{3}$$

Tangohia te 9 i te 64, ka 55.

$$10=2\times \frac{55}{3}+\frac{16}{3}$$

Tuhia te 2\times \frac{55}{3} hei hautanga kotahi.

$$10=\frac{2\times 55}{3}+\frac{16}{3}$$

Whakareatia te 2 ki te 55, ka 110.

$$10=\frac{110}{3}+\frac{16}{3}$$

Tā te mea he rite te tauraro o \frac{110}{3} me \frac{16}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$10=\frac{110+16}{3}$$

Tāpirihia te 110 ki te 16, ka 126.

$$10=\frac{126}{3}$$

Whakawehea te 126 ki te 3, kia riro ko 42.

$$10=42$$

Whakatauritea te 10 me te 42.

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