Whakaoti i te (2/3+4/5)+(6/2*3/4)

$$( \frac { 2 } { 3 } + \frac { 4 } { 5 } ) + ( \frac { 6 } { 2 } \cdot \frac { 3 } { 4 } )$$

Aromātai

$$\frac{223}{60}\approx 3.716666667$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 3 me 5 ko 15. Me tahuri \frac{2}{3} me \frac{4}{5} ki te hautau me te tautūnga 15.

$$\frac{10}{15}+\frac{12}{15}+\frac{6}{2}\times \frac{3}{4}$$

Tā te mea he rite te tauraro o \frac{10}{15} me \frac{12}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{10+12}{15}+\frac{6}{2}\times \frac{3}{4}$$

Tāpirihia te 10 ki te 12, ka 22.

$$\frac{22}{15}+\frac{6}{2}\times \frac{3}{4}$$

Whakawehea te 6 ki te 2, kia riro ko 3.

$$\frac{22}{15}+3\times \frac{3}{4}$$

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

$$\frac{22}{15}+\frac{3\times 3}{4}$$

Whakareatia te 3 ki te 3, ka 9.

$$\frac{22}{15}+\frac{9}{4}$$

Ko te maha noa iti rawa atu o 15 me 4 ko 60. Me tahuri \frac{22}{15} me \frac{9}{4} ki te hautau me te tautūnga 60.

$$\frac{88}{60}+\frac{135}{60}$$

Tā te mea he rite te tauraro o \frac{88}{60} me \frac{135}{60}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{88+135}{60}$$

Tāpirihia te 88 ki te 135, ka 223.

$$\frac{223}{60}$$

Tauwehe

$$\frac{223}{2 ^ {2} \cdot 3 \cdot 5} = 3\frac{43}{60} = 3.716666666666667$$