Whakaoti i te 23/5*55/5+73/2:2

$$2 \frac { 3 } { 5 } \times 5 \frac { 5 } { 5 } + 7 \frac { 3 } { 2 } : 2$$

Aromātai

$$\frac{397}{20}=19.85$$

Ngā Upane Otinga

Whakareatia te 2 ki te 5, ka 10.

$$\frac{10+3}{5}\times \frac{5\times 5+5}{5}+\frac{\frac{7\times 2+3}{2}}{2}$$

Tāpirihia te 10 ki te 3, ka 13.

$$\frac{13}{5}\times \frac{5\times 5+5}{5}+\frac{\frac{7\times 2+3}{2}}{2}$$

Whakareatia te 5 ki te 5, ka 25.

$$\frac{13}{5}\times \frac{25+5}{5}+\frac{\frac{7\times 2+3}{2}}{2}$$

Tāpirihia te 25 ki te 5, ka 30.

$$\frac{13}{5}\times \frac{30}{5}+\frac{\frac{7\times 2+3}{2}}{2}$$

Whakawehea te 30 ki te 5, kia riro ko 6.

$$\frac{13}{5}\times 6+\frac{\frac{7\times 2+3}{2}}{2}$$

Tuhia te \frac{13}{5}\times 6 hei hautanga kotahi.

$$\frac{13\times 6}{5}+\frac{\frac{7\times 2+3}{2}}{2}$$

Whakareatia te 13 ki te 6, ka 78.

$$\frac{78}{5}+\frac{\frac{7\times 2+3}{2}}{2}$$

Tuhia te \frac{\frac{7\times 2+3}{2}}{2} hei hautanga kotahi.

$$\frac{78}{5}+\frac{7\times 2+3}{2\times 2}$$

Whakareatia te 7 ki te 2, ka 14.

$$\frac{78}{5}+\frac{14+3}{2\times 2}$$

Tāpirihia te 14 ki te 3, ka 17.

$$\frac{78}{5}+\frac{17}{2\times 2}$$

Whakareatia te 2 ki te 2, ka 4.

$$\frac{78}{5}+\frac{17}{4}$$

Ko te maha noa iti rawa atu o 5 me 4 ko 20. Me tahuri \frac{78}{5} me \frac{17}{4} ki te hautau me te tautūnga 20.

$$\frac{312}{20}+\frac{85}{20}$$

Tā te mea he rite te tauraro o \frac{312}{20} me \frac{85}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{312+85}{20}$$

Tāpirihia te 312 ki te 85, ka 397.

$$\frac{397}{20}$$

Tauwehe

$$\frac{397}{2 ^ {2} \cdot 5} = 19\frac{17}{20} = 19.85$$