Whakaoti i te (1.2+6)-(3/4:0.5+11/3)

$$( 1.2 + 6 ) - ( \frac { 3 } { 4 } : 0.5 + 1 \frac { 1 } { 3 } )$$

Aromātai

$$\frac{131}{30}\approx 4.366666667$$

Ngā Upane Otinga

Tāpirihia te 1.2 ki te 6, ka 7.2.

$$7.2-\left(\frac{\frac{3}{4}}{0.5}+\frac{1\times 3+1}{3}\right)$$

Tuhia te \frac{\frac{3}{4}}{0.5} hei hautanga kotahi.

$$7.2-\left(\frac{3}{4\times 0.5}+\frac{1\times 3+1}{3}\right)$$

Whakareatia te 4 ki te 0.5, ka 2.

$$7.2-\left(\frac{3}{2}+\frac{1\times 3+1}{3}\right)$$

Whakareatia te 1 ki te 3, ka 3.

$$7.2-\left(\frac{3}{2}+\frac{3+1}{3}\right)$$

Tāpirihia te 3 ki te 1, ka 4.

$$7.2-\left(\frac{3}{2}+\frac{4}{3}\right)$$

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri \frac{3}{2} me \frac{4}{3} ki te hautau me te tautūnga 6.

$$7.2-\left(\frac{9}{6}+\frac{8}{6}\right)$$

Tā te mea he rite te tauraro o \frac{9}{6} me \frac{8}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$7.2-\frac{9+8}{6}$$

Tāpirihia te 9 ki te 8, ka 17.

$$7.2-\frac{17}{6}$$

Me tahuri ki tau ā-ira 7.2 ki te hautau \frac{72}{10}. Whakahekea te hautanga \frac{72}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{36}{5}-\frac{17}{6}$$

Ko te maha noa iti rawa atu o 5 me 6 ko 30. Me tahuri \frac{36}{5} me \frac{17}{6} ki te hautau me te tautūnga 30.

$$\frac{216}{30}-\frac{85}{30}$$

Tā te mea he rite te tauraro o \frac{216}{30} me \frac{85}{30}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{216-85}{30}$$

Tangohia te 85 i te 216, ka 131.

$$\frac{131}{30}$$

Tauwehe

$$\frac{131}{2 \cdot 3 \cdot 5} = 4\frac{11}{30} = 4.366666666666666$$