Whakaoti i te 6-[83/5-1.2*(2/3+1.5)+21/2*16%]+4=

$$6 - [ 8 \frac { 3 } { 5 } - 1.2 \times ( \frac { 2 } { 3 } + 1.5 ) + 2 \frac { 1 } { 2 } \times 16 \% ] + 4 =$$

Aromātai

$$3.6$$

Ngā Upane Otinga

Whakareatia te 8 ki te 5, ka 40.

$$6-\left(\frac{40+3}{5}-1.2\left(\frac{2}{3}+1.5\right)+\frac{2\times 2+1}{2}\times \frac{16}{100}\right)+4$$

Tāpirihia te 40 ki te 3, ka 43.

$$6-\left(\frac{43}{5}-1.2\left(\frac{2}{3}+1.5\right)+\frac{2\times 2+1}{2}\times \frac{16}{100}\right)+4$$

Me tahuri ki tau ā-ira 1.5 ki te hautau \frac{15}{10}. Whakahekea te hautanga \frac{15}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$6-\left(\frac{43}{5}-1.2\left(\frac{2}{3}+\frac{3}{2}\right)+\frac{2\times 2+1}{2}\times \frac{16}{100}\right)+4$$

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

$$6-\left(\frac{43}{5}-1.2\left(\frac{4}{6}+\frac{9}{6}\right)+\frac{2\times 2+1}{2}\times \frac{16}{100}\right)+4$$

Tā te mea he rite te tauraro o \frac{4}{6} me \frac{9}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$6-\left(\frac{43}{5}-1.2\times \frac{4+9}{6}+\frac{2\times 2+1}{2}\times \frac{16}{100}\right)+4$$

Tāpirihia te 4 ki te 9, ka 13.

$$6-\left(\frac{43}{5}-1.2\times \frac{13}{6}+\frac{2\times 2+1}{2}\times \frac{16}{100}\right)+4$$

Me tahuri ki tau ā-ira 1.2 ki te hautau \frac{12}{10}. Whakahekea te hautanga \frac{12}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$6-\left(\frac{43}{5}-\frac{6}{5}\times \frac{13}{6}+\frac{2\times 2+1}{2}\times \frac{16}{100}\right)+4$$

Me whakarea te \frac{6}{5} ki te \frac{13}{6} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$6-\left(\frac{43}{5}-\frac{6\times 13}{5\times 6}+\frac{2\times 2+1}{2}\times \frac{16}{100}\right)+4$$

Me whakakore tahi te 6 i te taurunga me te tauraro.

$$6-\left(\frac{43}{5}-\frac{13}{5}+\frac{2\times 2+1}{2}\times \frac{16}{100}\right)+4$$

Tā te mea he rite te tauraro o \frac{43}{5} me \frac{13}{5}, me tango rāua mā te tango i ō raua taurunga.

$$6-\left(\frac{43-13}{5}+\frac{2\times 2+1}{2}\times \frac{16}{100}\right)+4$$

Tangohia te 13 i te 43, ka 30.

$$6-\left(\frac{30}{5}+\frac{2\times 2+1}{2}\times \frac{16}{100}\right)+4$$

Whakawehea te 30 ki te 5, kia riro ko 6.

$$6-\left(6+\frac{2\times 2+1}{2}\times \frac{16}{100}\right)+4$$

Whakareatia te 2 ki te 2, ka 4.

$$6-\left(6+\frac{4+1}{2}\times \frac{16}{100}\right)+4$$

Tāpirihia te 4 ki te 1, ka 5.

$$6-\left(6+\frac{5}{2}\times \frac{16}{100}\right)+4$$

Whakahekea te hautanga \frac{16}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$6-\left(6+\frac{5}{2}\times \frac{4}{25}\right)+4$$

Me whakarea te \frac{5}{2} ki te \frac{4}{25} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$6-\left(6+\frac{5\times 4}{2\times 25}\right)+4$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 4}{2\times 25}.

$$6-\left(6+\frac{20}{50}\right)+4$$

Whakahekea te hautanga \frac{20}{50} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$6-\left(6+\frac{2}{5}\right)+4$$

Me tahuri te 6 ki te hautau \frac{30}{5}.

$$6-\left(\frac{30}{5}+\frac{2}{5}\right)+4$$

Tā te mea he rite te tauraro o \frac{30}{5} me \frac{2}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Tāpirihia te 30 ki te 2, ka 32.

$$6-\frac{32}{5}+4$$

Me tahuri te 6 ki te hautau \frac{30}{5}.

$$\frac{30}{5}-\frac{32}{5}+4$$

Tā te mea he rite te tauraro o \frac{30}{5} me \frac{32}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{30-32}{5}+4$$

Tangohia te 32 i te 30, ka -2.

$$-\frac{2}{5}+4$$

Me tahuri te 4 ki te hautau \frac{20}{5}.

$$-\frac{2}{5}+\frac{20}{5}$$

Tā te mea he rite te tauraro o -\frac{2}{5} me \frac{20}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-2+20}{5}$$

Tāpirihia te -2 ki te 20, ka 18.

$$\frac{18}{5}$$

Tauwehe

$$\frac{2 \cdot 3 ^ {2}}{5} = 3\frac{3}{5} = 3.6$$