Whakaoti i te (1/3+1/7+1/2)div(2/3-frac{1}{2})

$$( \frac { 1 } { 3 } + \frac { 1 } { 7 } + \frac { 1 } { 2 } ) \div ( \frac { 2 } { 3 } - \frac { 1 } { 2 } )$$

Aromātai

$$\frac{41}{7}\approx 5.857142857$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 3 me 7 ko 21. Me tahuri \frac{1}{3} me \frac{1}{7} ki te hautau me te tautūnga 21.

$$\frac{\frac{7}{21}+\frac{3}{21}+\frac{1}{2}}{\frac{2}{3}-\frac{1}{2}}$$

Tā te mea he rite te tauraro o \frac{7}{21} me \frac{3}{21}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{7+3}{21}+\frac{1}{2}}{\frac{2}{3}-\frac{1}{2}}$$

Tāpirihia te 7 ki te 3, ka 10.

$$\frac{\frac{10}{21}+\frac{1}{2}}{\frac{2}{3}-\frac{1}{2}}$$

Ko te maha noa iti rawa atu o 21 me 2 ko 42. Me tahuri \frac{10}{21} me \frac{1}{2} ki te hautau me te tautūnga 42.

$$\frac{\frac{20}{42}+\frac{21}{42}}{\frac{2}{3}-\frac{1}{2}}$$

Tā te mea he rite te tauraro o \frac{20}{42} me \frac{21}{42}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{20+21}{42}}{\frac{2}{3}-\frac{1}{2}}$$

Tāpirihia te 20 ki te 21, ka 41.

$$\frac{\frac{41}{42}}{\frac{2}{3}-\frac{1}{2}}$$

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

$$\frac{\frac{41}{42}}{\frac{4}{6}-\frac{3}{6}}$$

Tā te mea he rite te tauraro o \frac{4}{6} me \frac{3}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{41}{42}}{\frac{4-3}{6}}$$

Tangohia te 3 i te 4, ka 1.

$$\frac{\frac{41}{42}}{\frac{1}{6}}$$

Whakawehe \frac{41}{42} ki te \frac{1}{6} mā te whakarea \frac{41}{42} ki te tau huripoki o \frac{1}{6}.

$$\frac{41}{42}\times 6$$

Tuhia te \frac{41}{42}\times 6 hei hautanga kotahi.

$$\frac{41\times 6}{42}$$

Whakareatia te 41 ki te 6, ka 246.

$$\frac{246}{42}$$

Whakahekea te hautanga \frac{246}{42} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{41}{7}$$

Tauwehe

$$\frac{41}{7} = 5\frac{6}{7} = 5.857142857142857$$