Whakaoti i te 21/3+(75/6-37/8*2)

$$2 \frac { 1 } { 3 } + ( 7 \frac { 5 } { 6 } - 3 \frac { 7 } { 8 } \times 2 )$$

Aromātai

$$\frac{29}{12}\approx 2.416666667$$

Ngā Upane Otinga

Whakareatia te 2 ki te 3, ka 6.

$$\frac{6+1}{3}+\frac{7\times 6+5}{6}-\frac{3\times 8+7}{8}\times 2$$

Tāpirihia te 6 ki te 1, ka 7.

$$\frac{7}{3}+\frac{7\times 6+5}{6}-\frac{3\times 8+7}{8}\times 2$$

Whakareatia te 7 ki te 6, ka 42.

$$\frac{7}{3}+\frac{42+5}{6}-\frac{3\times 8+7}{8}\times 2$$

Tāpirihia te 42 ki te 5, ka 47.

$$\frac{7}{3}+\frac{47}{6}-\frac{3\times 8+7}{8}\times 2$$

Whakareatia te 3 ki te 8, ka 24.

$$\frac{7}{3}+\frac{47}{6}-\frac{24+7}{8}\times 2$$

Tāpirihia te 24 ki te 7, ka 31.

$$\frac{7}{3}+\frac{47}{6}-\frac{31}{8}\times 2$$

Tuhia te \frac{31}{8}\times 2 hei hautanga kotahi.

$$\frac{7}{3}+\frac{47}{6}-\frac{31\times 2}{8}$$

Whakareatia te 31 ki te 2, ka 62.

$$\frac{7}{3}+\frac{47}{6}-\frac{62}{8}$$

Whakahekea te hautanga \frac{62}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{7}{3}+\frac{47}{6}-\frac{31}{4}$$

Ko te maha noa iti rawa atu o 6 me 4 ko 12. Me tahuri \frac{47}{6} me \frac{31}{4} ki te hautau me te tautūnga 12.

$$\frac{7}{3}+\frac{94}{12}-\frac{93}{12}$$

Tā te mea he rite te tauraro o \frac{94}{12} me \frac{93}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{7}{3}+\frac{94-93}{12}$$

Tangohia te 93 i te 94, ka 1.

$$\frac{7}{3}+\frac{1}{12}$$

Ko te maha noa iti rawa atu o 3 me 12 ko 12. Me tahuri \frac{7}{3} me \frac{1}{12} ki te hautau me te tautūnga 12.

$$\frac{28}{12}+\frac{1}{12}$$

Tā te mea he rite te tauraro o \frac{28}{12} me \frac{1}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{28+1}{12}$$

Tāpirihia te 28 ki te 1, ka 29.

$$\frac{29}{12}$$

Tauwehe

$$\frac{29}{2 ^ {2} \cdot 3} = 2\frac{5}{12} = 2.4166666666666665$$