Whakaoti i te 5/8+4/6-8/9+2/3-frac{3}{24}

$$\frac{ 5 }{ 8 } + \frac{ 4 }{ 6 } - \frac{ 8 }{ 9 } + \frac{ 2 }{ 3 } - \frac{ 3 }{ 24 }$$

Aromātai

$$\frac{17}{18}\approx 0.944444444$$

Ngā Upane Otinga

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

$$\frac{5}{8}+\frac{2}{3}-\frac{8}{9}+\frac{2}{3}-\frac{3}{24}$$

Ko te maha noa iti rawa atu o 8 me 3 ko 24. Me tahuri \frac{5}{8} me \frac{2}{3} ki te hautau me te tautūnga 24.

$$\frac{15}{24}+\frac{16}{24}-\frac{8}{9}+\frac{2}{3}-\frac{3}{24}$$

Tā te mea he rite te tauraro o \frac{15}{24} me \frac{16}{24}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{15+16}{24}-\frac{8}{9}+\frac{2}{3}-\frac{3}{24}$$

Tāpirihia te 15 ki te 16, ka 31.

$$\frac{31}{24}-\frac{8}{9}+\frac{2}{3}-\frac{3}{24}$$

Ko te maha noa iti rawa atu o 24 me 9 ko 72. Me tahuri \frac{31}{24} me \frac{8}{9} ki te hautau me te tautūnga 72.

$$\frac{93}{72}-\frac{64}{72}+\frac{2}{3}-\frac{3}{24}$$

Tā te mea he rite te tauraro o \frac{93}{72} me \frac{64}{72}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{93-64}{72}+\frac{2}{3}-\frac{3}{24}$$

Tangohia te 64 i te 93, ka 29.

$$\frac{29}{72}+\frac{2}{3}-\frac{3}{24}$$

Ko te maha noa iti rawa atu o 72 me 3 ko 72. Me tahuri \frac{29}{72} me \frac{2}{3} ki te hautau me te tautūnga 72.

$$\frac{29}{72}+\frac{48}{72}-\frac{3}{24}$$

Tā te mea he rite te tauraro o \frac{29}{72} me \frac{48}{72}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{29+48}{72}-\frac{3}{24}$$

Tāpirihia te 29 ki te 48, ka 77.

$$\frac{77}{72}-\frac{3}{24}$$

Whakahekea te hautanga \frac{3}{24} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{77}{72}-\frac{1}{8}$$

Ko te maha noa iti rawa atu o 72 me 8 ko 72. Me tahuri \frac{77}{72} me \frac{1}{8} ki te hautau me te tautūnga 72.

$$\frac{77}{72}-\frac{9}{72}$$

Tā te mea he rite te tauraro o \frac{77}{72} me \frac{9}{72}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{77-9}{72}$$

Tangohia te 9 i te 77, ka 68.

$$\frac{68}{72}$$

Whakahekea te hautanga \frac{68}{72} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{17}{18}$$

Tauwehe

$$\frac{17}{2 \cdot 3 ^ {2}} = 0.9444444444444444$$