Whakaoti i te 23/14-35/6-2/5+21/2

$$2 \frac { 3 } { 14 } - 3 \frac { 5 } { 6 } - \frac { 2 } { 5 } + 2 \frac { 1 } { 2 }$$

Aromātai

$$\frac{101}{210}\approx 0.480952381$$

Ngā Upane Otinga

Whakareatia te 2 ki te 14, ka 28.

$$\frac{28+3}{14}-\frac{3\times 6+5}{6}-\frac{2}{5}+\frac{2\times 2+1}{2}$$

Tāpirihia te 28 ki te 3, ka 31.

$$\frac{31}{14}-\frac{3\times 6+5}{6}-\frac{2}{5}+\frac{2\times 2+1}{2}$$

Whakareatia te 3 ki te 6, ka 18.

$$\frac{31}{14}-\frac{18+5}{6}-\frac{2}{5}+\frac{2\times 2+1}{2}$$

Tāpirihia te 18 ki te 5, ka 23.

$$\frac{31}{14}-\frac{23}{6}-\frac{2}{5}+\frac{2\times 2+1}{2}$$

Ko te maha noa iti rawa atu o 14 me 6 ko 42. Me tahuri \frac{31}{14} me \frac{23}{6} ki te hautau me te tautūnga 42.

$$\frac{93}{42}-\frac{161}{42}-\frac{2}{5}+\frac{2\times 2+1}{2}$$

Tā te mea he rite te tauraro o \frac{93}{42} me \frac{161}{42}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{93-161}{42}-\frac{2}{5}+\frac{2\times 2+1}{2}$$

Tangohia te 161 i te 93, ka -68.

$$\frac{-68}{42}-\frac{2}{5}+\frac{2\times 2+1}{2}$$

Whakahekea te hautanga \frac{-68}{42} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{34}{21}-\frac{2}{5}+\frac{2\times 2+1}{2}$$

Ko te maha noa iti rawa atu o 21 me 5 ko 105. Me tahuri -\frac{34}{21} me \frac{2}{5} ki te hautau me te tautūnga 105.

$$-\frac{170}{105}-\frac{42}{105}+\frac{2\times 2+1}{2}$$

Tā te mea he rite te tauraro o -\frac{170}{105} me \frac{42}{105}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-170-42}{105}+\frac{2\times 2+1}{2}$$

Tangohia te 42 i te -170, ka -212.

$$-\frac{212}{105}+\frac{2\times 2+1}{2}$$

Whakareatia te 2 ki te 2, ka 4.

$$-\frac{212}{105}+\frac{4+1}{2}$$

Tāpirihia te 4 ki te 1, ka 5.

$$-\frac{212}{105}+\frac{5}{2}$$

Ko te maha noa iti rawa atu o 105 me 2 ko 210. Me tahuri -\frac{212}{105} me \frac{5}{2} ki te hautau me te tautūnga 210.

$$-\frac{424}{210}+\frac{525}{210}$$

Tā te mea he rite te tauraro o -\frac{424}{210} me \frac{525}{210}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-424+525}{210}$$

Tāpirihia te -424 ki te 525, ka 101.

$$\frac{101}{210}$$

Tauwehe

$$\frac{101}{2 \cdot 3 \cdot 5 \cdot 7} = 0.48095238095238096$$