Whakaoti i te (2-11/5)*31/3+11/8

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

Aromātai

$$\frac{91}{24}\approx 3.791666667$$

Ngā Upane Otinga

Whakareatia te 1 ki te 5, ka 5.

$$\left(2-\frac{5+1}{5}\right)\times \frac{3\times 3+1}{3}+\frac{1\times 8+1}{8}$$

Tāpirihia te 5 ki te 1, ka 6.

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

Me tahuri te 2 ki te hautau \frac{10}{5}.

$$\left(\frac{10}{5}-\frac{6}{5}\right)\times \frac{3\times 3+1}{3}+\frac{1\times 8+1}{8}$$

Tā te mea he rite te tauraro o \frac{10}{5} me \frac{6}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{10-6}{5}\times \frac{3\times 3+1}{3}+\frac{1\times 8+1}{8}$$

Tangohia te 6 i te 10, ka 4.

$$\frac{4}{5}\times \frac{3\times 3+1}{3}+\frac{1\times 8+1}{8}$$

Whakareatia te 3 ki te 3, ka 9.

$$\frac{4}{5}\times \frac{9+1}{3}+\frac{1\times 8+1}{8}$$

Tāpirihia te 9 ki te 1, ka 10.

$$\frac{4}{5}\times \frac{10}{3}+\frac{1\times 8+1}{8}$$

Me whakarea te \frac{4}{5} ki te \frac{10}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{4\times 10}{5\times 3}+\frac{1\times 8+1}{8}$$

Mahia ngā whakarea i roto i te hautanga \frac{4\times 10}{5\times 3}.

$$\frac{40}{15}+\frac{1\times 8+1}{8}$$

Whakahekea te hautanga \frac{40}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{8}{3}+\frac{1\times 8+1}{8}$$

Whakareatia te 1 ki te 8, ka 8.

$$\frac{8}{3}+\frac{8+1}{8}$$

Tāpirihia te 8 ki te 1, ka 9.

$$\frac{8}{3}+\frac{9}{8}$$

Ko te maha noa iti rawa atu o 3 me 8 ko 24. Me tahuri \frac{8}{3} me \frac{9}{8} ki te hautau me te tautūnga 24.

$$\frac{64}{24}+\frac{27}{24}$$

Tā te mea he rite te tauraro o \frac{64}{24} me \frac{27}{24}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{64+27}{24}$$

Tāpirihia te 64 ki te 27, ka 91.

$$\frac{91}{24}$$

Tauwehe

$$\frac{7 \cdot 13}{2 ^ {3} \cdot 3} = 3\frac{19}{24} = 3.7916666666666665$$