Whakaoti i te 9*(7/30-7/90+1/3)

$$9 \times ( \frac{ 7 }{ 30 } - \frac{ 7 }{ 90 } + \frac{ 1 }{ 3 } )$$

Aromātai

$$\frac{22}{5}=4.4$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 30 me 90 ko 90. Me tahuri \frac{7}{30} me \frac{7}{90} ki te hautau me te tautūnga 90.

$$9\left(\frac{21}{90}-\frac{7}{90}+\frac{1}{3}\right)$$

Tā te mea he rite te tauraro o \frac{21}{90} me \frac{7}{90}, me tango rāua mā te tango i ō raua taurunga.

$$9\left(\frac{21-7}{90}+\frac{1}{3}\right)$$

Tangohia te 7 i te 21, ka 14.

$$9\left(\frac{14}{90}+\frac{1}{3}\right)$$

Whakahekea te hautanga \frac{14}{90} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$9\left(\frac{7}{45}+\frac{1}{3}\right)$$

Ko te maha noa iti rawa atu o 45 me 3 ko 45. Me tahuri \frac{7}{45} me \frac{1}{3} ki te hautau me te tautūnga 45.

$$9\left(\frac{7}{45}+\frac{15}{45}\right)$$

Tā te mea he rite te tauraro o \frac{7}{45} me \frac{15}{45}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$9\times \frac{7+15}{45}$$

Tāpirihia te 7 ki te 15, ka 22.

$$9\times \frac{22}{45}$$

Tuhia te 9\times \frac{22}{45} hei hautanga kotahi.

$$\frac{9\times 22}{45}$$

Whakareatia te 9 ki te 22, ka 198.

$$\frac{198}{45}$$

Whakahekea te hautanga \frac{198}{45} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 9.

$$\frac{22}{5}$$

Tauwehe

$$\frac{2 \cdot 11}{5} = 4\frac{2}{5} = 4.4$$