Whakaoti i te {11/16div(5/6+2/3)}-1/3

$$\{ \frac { 11 } { 16 } \div ( \frac { 5 } { 6 } + \frac { 2 } { 3 } ) \} - \frac { 1 } { 3 }$$

Aromātai

$$\frac{1}{8}=0.125$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 6 me 3 ko 6. Me tahuri \frac{5}{6} me \frac{2}{3} ki te hautau me te tautūnga 6.

$$\frac{\frac{11}{16}}{\frac{5}{6}+\frac{4}{6}}-\frac{1}{3}$$

Tā te mea he rite te tauraro o \frac{5}{6} me \frac{4}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{11}{16}}{\frac{5+4}{6}}-\frac{1}{3}$$

Tāpirihia te 5 ki te 4, ka 9.

$$\frac{\frac{11}{16}}{\frac{9}{6}}-\frac{1}{3}$$

Whakahekea te hautanga \frac{9}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{\frac{11}{16}}{\frac{3}{2}}-\frac{1}{3}$$

Whakawehe \frac{11}{16} ki te \frac{3}{2} mā te whakarea \frac{11}{16} ki te tau huripoki o \frac{3}{2}.

$$\frac{11}{16}\times \frac{2}{3}-\frac{1}{3}$$

Me whakarea te \frac{11}{16} ki te \frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{11\times 2}{16\times 3}-\frac{1}{3}$$

Mahia ngā whakarea i roto i te hautanga \frac{11\times 2}{16\times 3}.

$$\frac{22}{48}-\frac{1}{3}$$

Whakahekea te hautanga \frac{22}{48} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{11}{24}-\frac{1}{3}$$

Ko te maha noa iti rawa atu o 24 me 3 ko 24. Me tahuri \frac{11}{24} me \frac{1}{3} ki te hautau me te tautūnga 24.

$$\frac{11}{24}-\frac{8}{24}$$

Tā te mea he rite te tauraro o \frac{11}{24} me \frac{8}{24}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{11-8}{24}$$

Tangohia te 8 i te 11, ka 3.

$$\frac{3}{24}$$

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

$$\frac{1}{8}$$

Tauwehe

$$\frac{1}{2 ^ {3}} = 0.125$$