Whakaoti i te 71/2div12-{12*(1/3-03)-3/20}

$$7 \frac { 1 } { 2 } \div 12 - \{ 12 \times ( \frac { 1 } { 3 } - 03 ) - \frac { 3 } { 20 } \}$$

Aromātai

$$-\frac{129}{40}=-3.225$$

Ngā Upane Otinga

Tuhia te \frac{\frac{7\times 2+1}{2}}{12} hei hautanga kotahi.

$$\frac{7\times 2+1}{2\times 12}-\left(12\left(\frac{1}{3}-0\times 3\right)-\frac{3}{20}\right)$$

Whakareatia te 7 ki te 2, ka 14.

$$\frac{14+1}{2\times 12}-\left(12\left(\frac{1}{3}-0\times 3\right)-\frac{3}{20}\right)$$

Tāpirihia te 14 ki te 1, ka 15.

$$\frac{15}{2\times 12}-\left(12\left(\frac{1}{3}-0\times 3\right)-\frac{3}{20}\right)$$

Whakareatia te 2 ki te 12, ka 24.

$$\frac{15}{24}-\left(12\left(\frac{1}{3}-0\times 3\right)-\frac{3}{20}\right)$$

Whakahekea te hautanga \frac{15}{24} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{5}{8}-\left(12\left(\frac{1}{3}-0\times 3\right)-\frac{3}{20}\right)$$

Whakareatia te 0 ki te 3, ka 0.

$$\frac{5}{8}-\left(12\left(\frac{1}{3}-0\right)-\frac{3}{20}\right)$$

Tangohia te 0 i te \frac{1}{3}, ka \frac{1}{3}.

$$\frac{5}{8}-\left(12\times \frac{1}{3}-\frac{3}{20}\right)$$

Whakareatia te 12 ki te \frac{1}{3}, ka \frac{12}{3}.

$$\frac{5}{8}-\left(\frac{12}{3}-\frac{3}{20}\right)$$

Whakawehea te 12 ki te 3, kia riro ko 4.

$$\frac{5}{8}-\left(4-\frac{3}{20}\right)$$

Me tahuri te 4 ki te hautau \frac{80}{20}.

$$\frac{5}{8}-\left(\frac{80}{20}-\frac{3}{20}\right)$$

Tā te mea he rite te tauraro o \frac{80}{20} me \frac{3}{20}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{5}{8}-\frac{80-3}{20}$$

Tangohia te 3 i te 80, ka 77.

$$\frac{5}{8}-\frac{77}{20}$$

Ko te maha noa iti rawa atu o 8 me 20 ko 40. Me tahuri \frac{5}{8} me \frac{77}{20} ki te hautau me te tautūnga 40.

$$\frac{25}{40}-\frac{154}{40}$$

Tā te mea he rite te tauraro o \frac{25}{40} me \frac{154}{40}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{25-154}{40}$$

Tangohia te 154 i te 25, ka -129.

$$-\frac{129}{40}$$

Tauwehe

$$-\frac{129}{40} = -3\frac{9}{40} = -3.225$$