Whakaoti i te 1/2+1/3div1/4-1/5

$$\frac{ 1 }{ 2 } + \frac{ 1 }{ 3 } \div \frac{ 1 }{ 4 } - \frac{ 1 }{ 5 }$$

Aromātai

$$\frac{49}{30}\approx 1.633333333$$

Ngā Upane Otinga

Whakawehe \frac{1}{3} ki te \frac{1}{4} mā te whakarea \frac{1}{3} ki te tau huripoki o \frac{1}{4}.

$$\frac{1}{2}+\frac{1}{3}\times 4-\frac{1}{5}$$

Whakareatia te \frac{1}{3} ki te 4, ka \frac{4}{3}.

$$\frac{1}{2}+\frac{4}{3}-\frac{1}{5}$$

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri \frac{1}{2} me \frac{4}{3} ki te hautau me te tautūnga 6.

$$\frac{3}{6}+\frac{8}{6}-\frac{1}{5}$$

Tā te mea he rite te tauraro o \frac{3}{6} me \frac{8}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3+8}{6}-\frac{1}{5}$$

Tāpirihia te 3 ki te 8, ka 11.

$$\frac{11}{6}-\frac{1}{5}$$

Ko te maha noa iti rawa atu o 6 me 5 ko 30. Me tahuri \frac{11}{6} me \frac{1}{5} ki te hautau me te tautūnga 30.

$$\frac{55}{30}-\frac{6}{30}$$

Tā te mea he rite te tauraro o \frac{55}{30} me \frac{6}{30}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{55-6}{30}$$

Tangohia te 6 i te 55, ka 49.

$$\frac{49}{30}$$

Tauwehe

$$\frac{7 ^ {2}}{2 \cdot 3 \cdot 5} = 1\frac{19}{30} = 1.6333333333333333$$