Whakaoti i te 72/3+(6-24/7):22/5-4x=

$$7 \frac { 2 } { 3 } + ( 6 - 2 \frac { 4 } { 7 } ) : 2 \frac { 2 } { 5 } - 4 x =$$

Aromātai

$$\frac{191}{21}-4x$$

Ngā Upane Otinga

Whakareatia te 7 ki te 3, ka 21.

$$\frac{21+2}{3}+\frac{6-\frac{2\times 7+4}{7}}{\frac{2\times 5+2}{5}}-4x$$

Tāpirihia te 21 ki te 2, ka 23.

$$\frac{23}{3}+\frac{6-\frac{2\times 7+4}{7}}{\frac{2\times 5+2}{5}}-4x$$

Whakareatia te 2 ki te 7, ka 14.

$$\frac{23}{3}+\frac{6-\frac{14+4}{7}}{\frac{2\times 5+2}{5}}-4x$$

Tāpirihia te 14 ki te 4, ka 18.

$$\frac{23}{3}+\frac{6-\frac{18}{7}}{\frac{2\times 5+2}{5}}-4x$$

Me tahuri te 6 ki te hautau \frac{42}{7}.

$$\frac{23}{3}+\frac{\frac{42}{7}-\frac{18}{7}}{\frac{2\times 5+2}{5}}-4x$$

Tā te mea he rite te tauraro o \frac{42}{7} me \frac{18}{7}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{23}{3}+\frac{\frac{42-18}{7}}{\frac{2\times 5+2}{5}}-4x$$

Tangohia te 18 i te 42, ka 24.

$$\frac{23}{3}+\frac{\frac{24}{7}}{\frac{2\times 5+2}{5}}-4x$$

Whakareatia te 2 ki te 5, ka 10.

$$\frac{23}{3}+\frac{\frac{24}{7}}{\frac{10+2}{5}}-4x$$

Tāpirihia te 10 ki te 2, ka 12.

$$\frac{23}{3}+\frac{\frac{24}{7}}{\frac{12}{5}}-4x$$

Whakawehe \frac{24}{7} ki te \frac{12}{5} mā te whakarea \frac{24}{7} ki te tau huripoki o \frac{12}{5}.

$$\frac{23}{3}+\frac{24}{7}\times \frac{5}{12}-4x$$

Me whakarea te \frac{24}{7} ki te \frac{5}{12} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{23}{3}+\frac{24\times 5}{7\times 12}-4x$$

Mahia ngā whakarea i roto i te hautanga \frac{24\times 5}{7\times 12}.

$$\frac{23}{3}+\frac{120}{84}-4x$$

Whakahekea te hautanga \frac{120}{84} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 12.

$$\frac{23}{3}+\frac{10}{7}-4x$$

Ko te maha noa iti rawa atu o 3 me 7 ko 21. Me tahuri \frac{23}{3} me \frac{10}{7} ki te hautau me te tautūnga 21.

$$\frac{161}{21}+\frac{30}{21}-4x$$

Tā te mea he rite te tauraro o \frac{161}{21} me \frac{30}{21}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{161+30}{21}-4x$$

Tāpirihia te 161 ki te 30, ka 191.

$$\frac{191}{21}-4x$$

Whakaroha

$$\frac{191}{21}-4x$$

Ngā Upane Otinga

Whakareatia te 7 ki te 3, ka 21.

$$\frac{21+2}{3}+\frac{6-\frac{2\times 7+4}{7}}{\frac{2\times 5+2}{5}}-4x$$

Tāpirihia te 21 ki te 2, ka 23.

$$\frac{23}{3}+\frac{6-\frac{2\times 7+4}{7}}{\frac{2\times 5+2}{5}}-4x$$

Whakareatia te 2 ki te 7, ka 14.

$$\frac{23}{3}+\frac{6-\frac{14+4}{7}}{\frac{2\times 5+2}{5}}-4x$$

Tāpirihia te 14 ki te 4, ka 18.

$$\frac{23}{3}+\frac{6-\frac{18}{7}}{\frac{2\times 5+2}{5}}-4x$$

Me tahuri te 6 ki te hautau \frac{42}{7}.

$$\frac{23}{3}+\frac{\frac{42}{7}-\frac{18}{7}}{\frac{2\times 5+2}{5}}-4x$$

Tā te mea he rite te tauraro o \frac{42}{7} me \frac{18}{7}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{23}{3}+\frac{\frac{42-18}{7}}{\frac{2\times 5+2}{5}}-4x$$

Tangohia te 18 i te 42, ka 24.

$$\frac{23}{3}+\frac{\frac{24}{7}}{\frac{2\times 5+2}{5}}-4x$$

Whakareatia te 2 ki te 5, ka 10.

$$\frac{23}{3}+\frac{\frac{24}{7}}{\frac{10+2}{5}}-4x$$

Tāpirihia te 10 ki te 2, ka 12.

$$\frac{23}{3}+\frac{\frac{24}{7}}{\frac{12}{5}}-4x$$

Whakawehe \frac{24}{7} ki te \frac{12}{5} mā te whakarea \frac{24}{7} ki te tau huripoki o \frac{12}{5}.

$$\frac{23}{3}+\frac{24}{7}\times \frac{5}{12}-4x$$

Me whakarea te \frac{24}{7} ki te \frac{5}{12} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{23}{3}+\frac{24\times 5}{7\times 12}-4x$$

Mahia ngā whakarea i roto i te hautanga \frac{24\times 5}{7\times 12}.

$$\frac{23}{3}+\frac{120}{84}-4x$$

Whakahekea te hautanga \frac{120}{84} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 12.

$$\frac{23}{3}+\frac{10}{7}-4x$$

Ko te maha noa iti rawa atu o 3 me 7 ko 21. Me tahuri \frac{23}{3} me \frac{10}{7} ki te hautau me te tautūnga 21.

$$\frac{161}{21}+\frac{30}{21}-4x$$

Tā te mea he rite te tauraro o \frac{161}{21} me \frac{30}{21}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{161+30}{21}-4x$$

Tāpirihia te 161 ki te 30, ka 191.

$$\frac{191}{21}-4x$$