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

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

Aromātai

$$\frac{25}{12}\approx 2.083333333$$

Ngā Upane Otinga

Whakawehe \frac{2}{3} ki te \frac{1}{5} mā te whakarea \frac{2}{3} ki te tau huripoki o \frac{1}{5}.

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

Tuhia te \frac{2}{3}\times 5 hei hautanga kotahi.

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

Whakareatia te 2 ki te 5, ka 10.

$$\frac{1}{4}+\frac{10}{3}-\frac{3}{4}\times 2$$

Ko te maha noa iti rawa atu o 4 me 3 ko 12. Me tahuri \frac{1}{4} me \frac{10}{3} ki te hautau me te tautūnga 12.

$$\frac{3}{12}+\frac{40}{12}-\frac{3}{4}\times 2$$

Tā te mea he rite te tauraro o \frac{3}{12} me \frac{40}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3+40}{12}-\frac{3}{4}\times 2$$

Tāpirihia te 3 ki te 40, ka 43.

$$\frac{43}{12}-\frac{3}{4}\times 2$$

Tuhia te \frac{3}{4}\times 2 hei hautanga kotahi.

$$\frac{43}{12}-\frac{3\times 2}{4}$$

Whakareatia te 3 ki te 2, ka 6.

$$\frac{43}{12}-\frac{6}{4}$$

Whakahekea te hautanga \frac{6}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{43}{12}-\frac{3}{2}$$

Ko te maha noa iti rawa atu o 12 me 2 ko 12. Me tahuri \frac{43}{12} me \frac{3}{2} ki te hautau me te tautūnga 12.

$$\frac{43}{12}-\frac{18}{12}$$

Tā te mea he rite te tauraro o \frac{43}{12} me \frac{18}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{43-18}{12}$$

Tangohia te 18 i te 43, ka 25.

$$\frac{25}{12}$$

Tauwehe

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 3} = 2\frac{1}{12} = 2.0833333333333335$$