Whakaoti i te 21/5+14/7-41/2-3/5+2frac{2}{35}

$$2 \frac { 1 } { 5 } + 1 \frac { 4 } { 7 } - 4 \frac { 1 } { 2 } - \frac { 3 } { 5 } + 2 \frac { 2 } { 35 }$$

Aromātai

$$\frac{51}{70}\approx 0.728571429$$

Ngā Upane Otinga

Whakareatia te 2 ki te 5, ka 10.

$$\frac{10+1}{5}+\frac{1\times 7+4}{7}-\frac{4\times 2+1}{2}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

Tāpirihia te 10 ki te 1, ka 11.

$$\frac{11}{5}+\frac{1\times 7+4}{7}-\frac{4\times 2+1}{2}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

Whakareatia te 1 ki te 7, ka 7.

$$\frac{11}{5}+\frac{7+4}{7}-\frac{4\times 2+1}{2}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

Tāpirihia te 7 ki te 4, ka 11.

$$\frac{11}{5}+\frac{11}{7}-\frac{4\times 2+1}{2}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

Ko te maha noa iti rawa atu o 5 me 7 ko 35. Me tahuri \frac{11}{5} me \frac{11}{7} ki te hautau me te tautūnga 35.

$$\frac{77}{35}+\frac{55}{35}-\frac{4\times 2+1}{2}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

Tā te mea he rite te tauraro o \frac{77}{35} me \frac{55}{35}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{77+55}{35}-\frac{4\times 2+1}{2}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

Tāpirihia te 77 ki te 55, ka 132.

$$\frac{132}{35}-\frac{4\times 2+1}{2}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

Whakareatia te 4 ki te 2, ka 8.

$$\frac{132}{35}-\frac{8+1}{2}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

Tāpirihia te 8 ki te 1, ka 9.

$$\frac{132}{35}-\frac{9}{2}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

Ko te maha noa iti rawa atu o 35 me 2 ko 70. Me tahuri \frac{132}{35} me \frac{9}{2} ki te hautau me te tautūnga 70.

$$\frac{264}{70}-\frac{315}{70}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

Tā te mea he rite te tauraro o \frac{264}{70} me \frac{315}{70}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{264-315}{70}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

Tangohia te 315 i te 264, ka -51.

$$-\frac{51}{70}-\frac{3}{5}+\frac{2\times 35+2}{35}$$

Ko te maha noa iti rawa atu o 70 me 5 ko 70. Me tahuri -\frac{51}{70} me \frac{3}{5} ki te hautau me te tautūnga 70.

$$-\frac{51}{70}-\frac{42}{70}+\frac{2\times 35+2}{35}$$

Tā te mea he rite te tauraro o -\frac{51}{70} me \frac{42}{70}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-51-42}{70}+\frac{2\times 35+2}{35}$$

Tangohia te 42 i te -51, ka -93.

$$-\frac{93}{70}+\frac{2\times 35+2}{35}$$

Whakareatia te 2 ki te 35, ka 70.

$$-\frac{93}{70}+\frac{70+2}{35}$$

Tāpirihia te 70 ki te 2, ka 72.

$$-\frac{93}{70}+\frac{72}{35}$$

Ko te maha noa iti rawa atu o 70 me 35 ko 70. Me tahuri -\frac{93}{70} me \frac{72}{35} ki te hautau me te tautūnga 70.

$$-\frac{93}{70}+\frac{144}{70}$$

Tā te mea he rite te tauraro o -\frac{93}{70} me \frac{144}{70}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-93+144}{70}$$

Tāpirihia te -93 ki te 144, ka 51.

$$\frac{51}{70}$$

Tauwehe

$$\frac{3 \cdot 17}{2 \cdot 5 \cdot 7} = 0.7285714285714285$$