Whakaoti i te 5*(11/3-3/5)+2.5div(2.5-1)

$$5 \times ( 1 \frac { 1 } { 3 } - \frac { 3 } { 5 } ) + 2.5 \div ( 2.5 - 1 )$$

Aromātai

$$\frac{16}{3}\approx 5.333333333$$

Ngā Upane Otinga

Whakareatia te 1 ki te 3, ka 3.

$$5\left(\frac{3+1}{3}-\frac{3}{5}\right)+\frac{2.5}{2.5-1}$$

Tāpirihia te 3 ki te 1, ka 4.

$$5\left(\frac{4}{3}-\frac{3}{5}\right)+\frac{2.5}{2.5-1}$$

Ko te maha noa iti rawa atu o 3 me 5 ko 15. Me tahuri \frac{4}{3} me \frac{3}{5} ki te hautau me te tautūnga 15.

$$5\left(\frac{20}{15}-\frac{9}{15}\right)+\frac{2.5}{2.5-1}$$

Tā te mea he rite te tauraro o \frac{20}{15} me \frac{9}{15}, me tango rāua mā te tango i ō raua taurunga.

$$5\times \frac{20-9}{15}+\frac{2.5}{2.5-1}$$

Tangohia te 9 i te 20, ka 11.

$$5\times \frac{11}{15}+\frac{2.5}{2.5-1}$$

Tuhia te 5\times \frac{11}{15} hei hautanga kotahi.

$$\frac{5\times 11}{15}+\frac{2.5}{2.5-1}$$

Whakareatia te 5 ki te 11, ka 55.

$$\frac{55}{15}+\frac{2.5}{2.5-1}$$

Whakahekea te hautanga \frac{55}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{11}{3}+\frac{2.5}{2.5-1}$$

Tangohia te 1 i te 2.5, ka 1.5.

$$\frac{11}{3}+\frac{2.5}{1.5}$$

Whakarohaina te \frac{2.5}{1.5} mā te whakarea i te taurunga me te tauraro ki te 10.

$$\frac{11}{3}+\frac{25}{15}$$

Whakahekea te hautanga \frac{25}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{11}{3}+\frac{5}{3}$$

Tā te mea he rite te tauraro o \frac{11}{3} me \frac{5}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{11+5}{3}$$

Tāpirihia te 11 ki te 5, ka 16.

$$\frac{16}{3}$$

Tauwehe

$$\frac{2 ^ {4}}{3} = 5\frac{1}{3} = 5.333333333333333$$