Whakaoti i te 1655/3+22/5-5/4

$$165 \frac { 5 } { 3 } + \frac { 22 } { 5 } - \frac { 5 } { 4 }$$

Aromātai

$$\frac{10189}{60}\approx 169.816666667$$

Ngā Upane Otinga

Whakareatia te 165 ki te 3, ka 495.

$$\frac{495+5}{3}+\frac{22}{5}-\frac{5}{4}$$

Tāpirihia te 495 ki te 5, ka 500.

$$\frac{500}{3}+\frac{22}{5}-\frac{5}{4}$$

Ko te maha noa iti rawa atu o 3 me 5 ko 15. Me tahuri \frac{500}{3} me \frac{22}{5} ki te hautau me te tautūnga 15.

$$\frac{2500}{15}+\frac{66}{15}-\frac{5}{4}$$

Tā te mea he rite te tauraro o \frac{2500}{15} me \frac{66}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{2500+66}{15}-\frac{5}{4}$$

Tāpirihia te 2500 ki te 66, ka 2566.

$$\frac{2566}{15}-\frac{5}{4}$$

Ko te maha noa iti rawa atu o 15 me 4 ko 60. Me tahuri \frac{2566}{15} me \frac{5}{4} ki te hautau me te tautūnga 60.

$$\frac{10264}{60}-\frac{75}{60}$$

Tā te mea he rite te tauraro o \frac{10264}{60} me \frac{75}{60}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{10264-75}{60}$$

Tangohia te 75 i te 10264, ka 10189.

$$\frac{10189}{60}$$

Tauwehe

$$\frac{23 \cdot 443}{2 ^ {2} \cdot 3 \cdot 5} = 169\frac{49}{60} = 169.81666666666666$$