Whakaoti i te (1/2-1/3)div5/18+1/3+frac{1}{6}

$$( \frac { 1 } { 2 } - \frac { 1 } { 3 } ) \div \frac { 5 } { 18 } + \frac { 1 } { 3 } + \frac { 1 } { 6 }$$

Aromātai

$$\frac{11}{10}=1.1$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri \frac{1}{2} me \frac{1}{3} ki te hautau me te tautūnga 6.

$$\frac{\frac{3}{6}-\frac{2}{6}}{\frac{5}{18}}+\frac{1}{3}+\frac{1}{6}$$

Tā te mea he rite te tauraro o \frac{3}{6} me \frac{2}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{3-2}{6}}{\frac{5}{18}}+\frac{1}{3}+\frac{1}{6}$$

Tangohia te 2 i te 3, ka 1.

$$\frac{\frac{1}{6}}{\frac{5}{18}}+\frac{1}{3}+\frac{1}{6}$$

Whakawehe \frac{1}{6} ki te \frac{5}{18} mā te whakarea \frac{1}{6} ki te tau huripoki o \frac{5}{18}.

$$\frac{1}{6}\times \frac{18}{5}+\frac{1}{3}+\frac{1}{6}$$

Me whakarea te \frac{1}{6} ki te \frac{18}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\times 18}{6\times 5}+\frac{1}{3}+\frac{1}{6}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 18}{6\times 5}.

$$\frac{18}{30}+\frac{1}{3}+\frac{1}{6}$$

Whakahekea te hautanga \frac{18}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{3}{5}+\frac{1}{3}+\frac{1}{6}$$

Ko te maha noa iti rawa atu o 5 me 3 ko 15. Me tahuri \frac{3}{5} me \frac{1}{3} ki te hautau me te tautūnga 15.

$$\frac{9}{15}+\frac{5}{15}+\frac{1}{6}$$

Tā te mea he rite te tauraro o \frac{9}{15} me \frac{5}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{9+5}{15}+\frac{1}{6}$$

Tāpirihia te 9 ki te 5, ka 14.

$$\frac{14}{15}+\frac{1}{6}$$

Ko te maha noa iti rawa atu o 15 me 6 ko 30. Me tahuri \frac{14}{15} me \frac{1}{6} ki te hautau me te tautūnga 30.

$$\frac{28}{30}+\frac{5}{30}$$

Tā te mea he rite te tauraro o \frac{28}{30} me \frac{5}{30}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{28+5}{30}$$

Tāpirihia te 28 ki te 5, ka 33.

$$\frac{33}{30}$$

Whakahekea te hautanga \frac{33}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{11}{10}$$

Tauwehe

$$\frac{11}{2 \cdot 5} = 1\frac{1}{10} = 1.1$$